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Finding the Third Proportional to 116,677.55 and 174,271.92

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Solution

The third proportional to 116,677.55 and 174,271.92 is: 260,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,677.55 : 174,271.92 = 174,271.92 : x
  2. Step 2: Convert to fraction form
    116,677.55/174,271.92 = 174,271.92/x
  3. Step 3: Cross multiply
    116,677.55x = 174,271.92 × 174,271.92
  4. Step 4: Simplify right side
    116,677.55x = 30,370,702,754.01
  5. Step 5: Solve for x
    x = 30,370,702,754.01/116,677.55
  6. Step 6: Final answer
    x = 260,296.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.