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Finding the Third Proportional to 63,482 and 137,899

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Solution

The third proportional to 63,482 and 137,899 is: 299,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,482 : 137,899 = 137,899 : x
  2. Step 2: Convert to fraction form
    63,482/137,899 = 137,899/x
  3. Step 3: Cross multiply
    63,482x = 137,899 × 137,899
  4. Step 4: Simplify right side
    63,482x = 19,016,134,201
  5. Step 5: Solve for x
    x = 19,016,134,201/63,482
  6. Step 6: Final answer
    x = 299,551.59

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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.