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Finding the Third Proportional to 63,703 and 138,482

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Solution

The third proportional to 63,703 and 138,482 is: 301,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,703 : 138,482 = 138,482 : x
  2. Step 2: Convert to fraction form
    63,703/138,482 = 138,482/x
  3. Step 3: Cross multiply
    63,703x = 138,482 × 138,482
  4. Step 4: Simplify right side
    63,703x = 19,177,264,324
  5. Step 5: Solve for x
    x = 19,177,264,324/63,703
  6. Step 6: Final answer
    x = 301,041.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.