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Finding the Third Proportional to 63,998 and 132,085

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Solution

The third proportional to 63,998 and 132,085 is: 272,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,998 : 132,085 = 132,085 : x
  2. Step 2: Convert to fraction form
    63,998/132,085 = 132,085/x
  3. Step 3: Cross multiply
    63,998x = 132,085 × 132,085
  4. Step 4: Simplify right side
    63,998x = 17,446,447,225
  5. Step 5: Solve for x
    x = 17,446,447,225/63,998
  6. Step 6: Final answer
    x = 272,609.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.