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Finding the Third Proportional to 59,706 and 87,831

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Solution

The third proportional to 59,706 and 87,831 is: 129,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,706 : 87,831 = 87,831 : x
  2. Step 2: Convert to fraction form
    59,706/87,831 = 87,831/x
  3. Step 3: Cross multiply
    59,706x = 87,831 × 87,831
  4. Step 4: Simplify right side
    59,706x = 7,714,284,561
  5. Step 5: Solve for x
    x = 7,714,284,561/59,706
  6. Step 6: Final answer
    x = 129,204.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.