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Finding the Third Proportional to 96,654 and 144,531

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Solution

The third proportional to 96,654 and 144,531 is: 216,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,654 : 144,531 = 144,531 : x
  2. Step 2: Convert to fraction form
    96,654/144,531 = 144,531/x
  3. Step 3: Cross multiply
    96,654x = 144,531 × 144,531
  4. Step 4: Simplify right side
    96,654x = 20,889,209,961
  5. Step 5: Solve for x
    x = 20,889,209,961/96,654
  6. Step 6: Final answer
    x = 216,123.60

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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.