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Finding the Third Proportional to 61,522 and 96,654

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Solution

The third proportional to 61,522 and 96,654 is: 151,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,522 : 96,654 = 96,654 : x
  2. Step 2: Convert to fraction form
    61,522/96,654 = 96,654/x
  3. Step 3: Cross multiply
    61,522x = 96,654 × 96,654
  4. Step 4: Simplify right side
    61,522x = 9,341,995,716
  5. Step 5: Solve for x
    x = 9,341,995,716/61,522
  6. Step 6: Final answer
    x = 151,848.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.