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Finding the Third Proportional to 61,214 and 129,774

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Solution

The third proportional to 61,214 and 129,774 is: 275,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,214 : 129,774 = 129,774 : x
  2. Step 2: Convert to fraction form
    61,214/129,774 = 129,774/x
  3. Step 3: Cross multiply
    61,214x = 129,774 × 129,774
  4. Step 4: Simplify right side
    61,214x = 16,841,291,076
  5. Step 5: Solve for x
    x = 16,841,291,076/61,214
  6. Step 6: Final answer
    x = 275,121.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.