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Finding the Third Proportional to 80,972 and 170,746

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Solution

The third proportional to 80,972 and 170,746 is: 360,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,972 : 170,746 = 170,746 : x
  2. Step 2: Convert to fraction form
    80,972/170,746 = 170,746/x
  3. Step 3: Cross multiply
    80,972x = 170,746 × 170,746
  4. Step 4: Simplify right side
    80,972x = 29,154,196,516
  5. Step 5: Solve for x
    x = 29,154,196,516/80,972
  6. Step 6: Final answer
    x = 360,052.81

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.