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Finding the Third Proportional to 89,746 and 140,793

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Solution

The third proportional to 89,746 and 140,793 is: 220,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,746 : 140,793 = 140,793 : x
  2. Step 2: Convert to fraction form
    89,746/140,793 = 140,793/x
  3. Step 3: Cross multiply
    89,746x = 140,793 × 140,793
  4. Step 4: Simplify right side
    89,746x = 19,822,668,849
  5. Step 5: Solve for x
    x = 19,822,668,849/89,746
  6. Step 6: Final answer
    x = 220,875.24

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.