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Finding the Third Proportional to 52,957.69 and 80,677.13

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Solution

The third proportional to 52,957.69 and 80,677.13 is: 122,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,957.69 : 80,677.13 = 80,677.13 : x
  2. Step 2: Convert to fraction form
    52,957.69/80,677.13 = 80,677.13/x
  3. Step 3: Cross multiply
    52,957.69x = 80,677.13 × 80,677.13
  4. Step 4: Simplify right side
    52,957.69x = 6,508,798,498.27
  5. Step 5: Solve for x
    x = 6,508,798,498.27/52,957.69
  6. Step 6: Final answer
    x = 122,905.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.