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Finding the Third Proportional to 59,466 and 81,543

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Solution

The third proportional to 59,466 and 81,543 is: 111,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,466 : 81,543 = 81,543 : x
  2. Step 2: Convert to fraction form
    59,466/81,543 = 81,543/x
  3. Step 3: Cross multiply
    59,466x = 81,543 × 81,543
  4. Step 4: Simplify right side
    59,466x = 6,649,260,849
  5. Step 5: Solve for x
    x = 6,649,260,849/59,466
  6. Step 6: Final answer
    x = 111,816.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.