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Finding the Third Proportional to 87,669 and 125,357.63

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Solution

The third proportional to 87,669 and 125,357.63 is: 179,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,669 : 125,357.63 = 125,357.63 : x
  2. Step 2: Convert to fraction form
    87,669/125,357.63 = 125,357.63/x
  3. Step 3: Cross multiply
    87,669x = 125,357.63 × 125,357.63
  4. Step 4: Simplify right side
    87,669x = 15,714,534,145.64
  5. Step 5: Solve for x
    x = 15,714,534,145.64/87,669
  6. Step 6: Final answer
    x = 179,248.47

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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.