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Finding the Third Proportional to 103,123.13 and 140,499.56

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Solution

The third proportional to 103,123.13 and 140,499.56 is: 191,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,123.13 : 140,499.56 = 140,499.56 : x
  2. Step 2: Convert to fraction form
    103,123.13/140,499.56 = 140,499.56/x
  3. Step 3: Cross multiply
    103,123.13x = 140,499.56 × 140,499.56
  4. Step 4: Simplify right side
    103,123.13x = 19,740,127,062.69
  5. Step 5: Solve for x
    x = 19,740,127,062.69/103,123.13
  6. Step 6: Final answer
    x = 191,422.89

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.