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Finding the Third Proportional to 61,347 and 125,274

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Solution

The third proportional to 61,347 and 125,274 is: 255,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,347 : 125,274 = 125,274 : x
  2. Step 2: Convert to fraction form
    61,347/125,274 = 125,274/x
  3. Step 3: Cross multiply
    61,347x = 125,274 × 125,274
  4. Step 4: Simplify right side
    61,347x = 15,693,575,076
  5. Step 5: Solve for x
    x = 15,693,575,076/61,347
  6. Step 6: Final answer
    x = 255,816.50

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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.