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Finding the Third Proportional to 63,837 and 138,862

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Solution

The third proportional to 63,837 and 138,862 is: 302,060.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,837 : 138,862 = 138,862 : x
  2. Step 2: Convert to fraction form
    63,837/138,862 = 138,862/x
  3. Step 3: Cross multiply
    63,837x = 138,862 × 138,862
  4. Step 4: Simplify right side
    63,837x = 19,282,655,044
  5. Step 5: Solve for x
    x = 19,282,655,044/63,837
  6. Step 6: Final answer
    x = 302,060.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.