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Finding the Third Proportional to 61,677 and 134,767

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Solution

The third proportional to 61,677 and 134,767 is: 294,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,677 : 134,767 = 134,767 : x
  2. Step 2: Convert to fraction form
    61,677/134,767 = 134,767/x
  3. Step 3: Cross multiply
    61,677x = 134,767 × 134,767
  4. Step 4: Simplify right side
    61,677x = 18,162,144,289
  5. Step 5: Solve for x
    x = 18,162,144,289/61,677
  6. Step 6: Final answer
    x = 294,471.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.