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Finding the Third Proportional to 61,472.13 and 94,836.16

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Solution

The third proportional to 61,472.13 and 94,836.16 is: 146,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,472.13 : 94,836.16 = 94,836.16 : x
  2. Step 2: Convert to fraction form
    61,472.13/94,836.16 = 94,836.16/x
  3. Step 3: Cross multiply
    61,472.13x = 94,836.16 × 94,836.16
  4. Step 4: Simplify right side
    61,472.13x = 8,993,897,909.90
  5. Step 5: Solve for x
    x = 8,993,897,909.90/61,472.13
  6. Step 6: Final answer
    x = 146,308.54

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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.