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Finding the Third Proportional to 67,564.13 and 90,127.69

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Solution

The third proportional to 67,564.13 and 90,127.69 is: 120,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,564.13 : 90,127.69 = 90,127.69 : x
  2. Step 2: Convert to fraction form
    67,564.13/90,127.69 = 90,127.69/x
  3. Step 3: Cross multiply
    67,564.13x = 90,127.69 × 90,127.69
  4. Step 4: Simplify right side
    67,564.13x = 8,123,000,054.10
  5. Step 5: Solve for x
    x = 8,123,000,054.10/67,564.13
  6. Step 6: Final answer
    x = 120,226.53

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.