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Finding the Third Proportional to 71,281.13 and 99,654.75

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Solution

The third proportional to 71,281.13 and 99,654.75 is: 139,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,281.13 : 99,654.75 = 99,654.75 : x
  2. Step 2: Convert to fraction form
    71,281.13/99,654.75 = 99,654.75/x
  3. Step 3: Cross multiply
    71,281.13x = 99,654.75 × 99,654.75
  4. Step 4: Simplify right side
    71,281.13x = 9,931,069,197.56
  5. Step 5: Solve for x
    x = 9,931,069,197.56/71,281.13
  6. Step 6: Final answer
    x = 139,322.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.