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Finding the Third Proportional to 61,264 and 125,118

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Solution

The third proportional to 61,264 and 125,118 is: 255,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,264 : 125,118 = 125,118 : x
  2. Step 2: Convert to fraction form
    61,264/125,118 = 125,118/x
  3. Step 3: Cross multiply
    61,264x = 125,118 × 125,118
  4. Step 4: Simplify right side
    61,264x = 15,654,513,924
  5. Step 5: Solve for x
    x = 15,654,513,924/61,264
  6. Step 6: Final answer
    x = 255,525.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.