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Finding the Third Proportional to 59,714 and 125,908

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Solution

The third proportional to 59,714 and 125,908 is: 265,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,714 : 125,908 = 125,908 : x
  2. Step 2: Convert to fraction form
    59,714/125,908 = 125,908/x
  3. Step 3: Cross multiply
    59,714x = 125,908 × 125,908
  4. Step 4: Simplify right side
    59,714x = 15,852,824,464
  5. Step 5: Solve for x
    x = 15,852,824,464/59,714
  6. Step 6: Final answer
    x = 265,479.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.