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Finding the Third Proportional to 90,724 and 141,053

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Solution

The third proportional to 90,724 and 141,053 is: 219,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,724 : 141,053 = 141,053 : x
  2. Step 2: Convert to fraction form
    90,724/141,053 = 141,053/x
  3. Step 3: Cross multiply
    90,724x = 141,053 × 141,053
  4. Step 4: Simplify right side
    90,724x = 19,895,948,809
  5. Step 5: Solve for x
    x = 19,895,948,809/90,724
  6. Step 6: Final answer
    x = 219,301.94

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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.