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Finding the Third Proportional to 90,720.38 and 141,048.56

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Solution

The third proportional to 90,720.38 and 141,048.56 is: 219,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,720.38 : 141,048.56 = 141,048.56 : x
  2. Step 2: Convert to fraction form
    90,720.38/141,048.56 = 141,048.56/x
  3. Step 3: Cross multiply
    90,720.38x = 141,048.56 × 141,048.56
  4. Step 4: Simplify right side
    90,720.38x = 19,894,696,983.32
  5. Step 5: Solve for x
    x = 19,894,696,983.32/90,720.38
  6. Step 6: Final answer
    x = 219,296.90

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