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Finding the Third Proportional to 105,306.75 and 141,868.13

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Solution

The third proportional to 105,306.75 and 141,868.13 is: 191,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,306.75 : 141,868.13 = 141,868.13 : x
  2. Step 2: Convert to fraction form
    105,306.75/141,868.13 = 141,868.13/x
  3. Step 3: Cross multiply
    105,306.75x = 141,868.13 × 141,868.13
  4. Step 4: Simplify right side
    105,306.75x = 20,126,564,891.02
  5. Step 5: Solve for x
    x = 20,126,564,891.02/105,306.75
  6. Step 6: Final answer
    x = 191,123.22

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