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Finding the Third Proportional to 72,658.13 and 97,642.13

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Solution

The third proportional to 72,658.13 and 97,642.13 is: 131,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,658.13 : 97,642.13 = 97,642.13 : x
  2. Step 2: Convert to fraction form
    72,658.13/97,642.13 = 97,642.13/x
  3. Step 3: Cross multiply
    72,658.13x = 97,642.13 × 97,642.13
  4. Step 4: Simplify right side
    72,658.13x = 9,533,984,574.52
  5. Step 5: Solve for x
    x = 9,533,984,574.52/72,658.13
  6. Step 6: Final answer
    x = 131,217.05

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.