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Finding the Third Proportional to 59,516 and 81,610

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Solution

The third proportional to 59,516 and 81,610 is: 111,905.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,516 : 81,610 = 81,610 : x
  2. Step 2: Convert to fraction form
    59,516/81,610 = 81,610/x
  3. Step 3: Cross multiply
    59,516x = 81,610 × 81,610
  4. Step 4: Simplify right side
    59,516x = 6,660,192,100
  5. Step 5: Solve for x
    x = 6,660,192,100/59,516
  6. Step 6: Final answer
    x = 111,905.91

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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.