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Finding the Third Proportional to 75,463.73 and 102,123.91

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Solution

The third proportional to 75,463.73 and 102,123.91 is: 138,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,463.73 : 102,123.91 = 102,123.91 : x
  2. Step 2: Convert to fraction form
    75,463.73/102,123.91 = 102,123.91/x
  3. Step 3: Cross multiply
    75,463.73x = 102,123.91 × 102,123.91
  4. Step 4: Simplify right side
    75,463.73x = 10,429,293,823.44
  5. Step 5: Solve for x
    x = 10,429,293,823.44/75,463.73
  6. Step 6: Final answer
    x = 138,202.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.