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Finding the Third Proportional to 63,376 and 138,560

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Solution

The third proportional to 63,376 and 138,560 is: 302,936.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,376 : 138,560 = 138,560 : x
  2. Step 2: Convert to fraction form
    63,376/138,560 = 138,560/x
  3. Step 3: Cross multiply
    63,376x = 138,560 × 138,560
  4. Step 4: Simplify right side
    63,376x = 19,198,873,600
  5. Step 5: Solve for x
    x = 19,198,873,600/63,376
  6. Step 6: Final answer
    x = 302,936.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.