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Finding the Third Proportional to 63,474 and 148,343

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Solution

The third proportional to 63,474 and 148,343 is: 346,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,474 : 148,343 = 148,343 : x
  2. Step 2: Convert to fraction form
    63,474/148,343 = 148,343/x
  3. Step 3: Cross multiply
    63,474x = 148,343 × 148,343
  4. Step 4: Simplify right side
    63,474x = 22,005,645,649
  5. Step 5: Solve for x
    x = 22,005,645,649/63,474
  6. Step 6: Final answer
    x = 346,687.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.