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Finding the Third Proportional to 116,646 and 180,121.50

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Solution

The third proportional to 116,646 and 180,121.50 is: 278,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,646 : 180,121.50 = 180,121.50 : x
  2. Step 2: Convert to fraction form
    116,646/180,121.50 = 180,121.50/x
  3. Step 3: Cross multiply
    116,646x = 180,121.50 × 180,121.50
  4. Step 4: Simplify right side
    116,646x = 32,443,754,762.25
  5. Step 5: Solve for x
    x = 32,443,754,762.25/116,646
  6. Step 6: Final answer
    x = 278,138.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.