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Finding the Third Proportional to 116,272.13 and 174,409.88

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Solution

The third proportional to 116,272.13 and 174,409.88 is: 261,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,272.13 : 174,409.88 = 174,409.88 : x
  2. Step 2: Convert to fraction form
    116,272.13/174,409.88 = 174,409.88/x
  3. Step 3: Cross multiply
    116,272.13x = 174,409.88 × 174,409.88
  4. Step 4: Simplify right side
    116,272.13x = 30,418,804,497.52
  5. Step 5: Solve for x
    x = 30,418,804,497.52/116,272.13
  6. Step 6: Final answer
    x = 261,617.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.