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Finding the Third Proportional to 87,796 and 125,468

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Solution

The third proportional to 87,796 and 125,468 is: 179,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,796 : 125,468 = 125,468 : x
  2. Step 2: Convert to fraction form
    87,796/125,468 = 125,468/x
  3. Step 3: Cross multiply
    87,796x = 125,468 × 125,468
  4. Step 4: Simplify right side
    87,796x = 15,742,219,024
  5. Step 5: Solve for x
    x = 15,742,219,024/87,796
  6. Step 6: Final answer
    x = 179,304.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.