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Finding the Third Proportional to 53,957.39 and 84,455.79

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Solution

The third proportional to 53,957.39 and 84,455.79 is: 132,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,957.39 : 84,455.79 = 84,455.79 : x
  2. Step 2: Convert to fraction form
    53,957.39/84,455.79 = 84,455.79/x
  3. Step 3: Cross multiply
    53,957.39x = 84,455.79 × 84,455.79
  4. Step 4: Simplify right side
    53,957.39x = 7,132,780,306.17
  5. Step 5: Solve for x
    x = 7,132,780,306.17/53,957.39
  6. Step 6: Final answer
    x = 132,192.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.