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Finding the Third Proportional to 59,898.38 and 92,732.63

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Solution

The third proportional to 59,898.38 and 92,732.63 is: 143,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,898.38 : 92,732.63 = 92,732.63 : x
  2. Step 2: Convert to fraction form
    59,898.38/92,732.63 = 92,732.63/x
  3. Step 3: Cross multiply
    59,898.38x = 92,732.63 × 92,732.63
  4. Step 4: Simplify right side
    59,898.38x = 8,599,339,739.39
  5. Step 5: Solve for x
    x = 8,599,339,739.39/59,898.38
  6. Step 6: Final answer
    x = 143,565.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.