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Finding the Third Proportional to 63,051 and 138,387

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Solution

The third proportional to 63,051 and 138,387 is: 303,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,051 : 138,387 = 138,387 : x
  2. Step 2: Convert to fraction form
    63,051/138,387 = 138,387/x
  3. Step 3: Cross multiply
    63,051x = 138,387 × 138,387
  4. Step 4: Simplify right side
    63,051x = 19,150,961,769
  5. Step 5: Solve for x
    x = 19,150,961,769/63,051
  6. Step 6: Final answer
    x = 303,737.64

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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.