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Finding the Third Proportional to 61,002 and 129,778

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Solution

The third proportional to 61,002 and 129,778 is: 276,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,002 : 129,778 = 129,778 : x
  2. Step 2: Convert to fraction form
    61,002/129,778 = 129,778/x
  3. Step 3: Cross multiply
    61,002x = 129,778 × 129,778
  4. Step 4: Simplify right side
    61,002x = 16,842,329,284
  5. Step 5: Solve for x
    x = 16,842,329,284/61,002
  6. Step 6: Final answer
    x = 276,094.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.