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Finding the Third Proportional to 61,627 and 87,301

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Solution

The third proportional to 61,627 and 87,301 is: 123,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,627 : 87,301 = 87,301 : x
  2. Step 2: Convert to fraction form
    61,627/87,301 = 87,301/x
  3. Step 3: Cross multiply
    61,627x = 87,301 × 87,301
  4. Step 4: Simplify right side
    61,627x = 7,621,464,601
  5. Step 5: Solve for x
    x = 7,621,464,601/61,627
  6. Step 6: Final answer
    x = 123,670.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.