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Finding the Third Proportional to 63,712 and 125,852

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Solution

The third proportional to 63,712 and 125,852 is: 248,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,712 : 125,852 = 125,852 : x
  2. Step 2: Convert to fraction form
    63,712/125,852 = 125,852/x
  3. Step 3: Cross multiply
    63,712x = 125,852 × 125,852
  4. Step 4: Simplify right side
    63,712x = 15,838,725,904
  5. Step 5: Solve for x
    x = 15,838,725,904/63,712
  6. Step 6: Final answer
    x = 248,598.79

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.