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Finding the Third Proportional to 61,167 and 129,685

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Solution

The third proportional to 61,167 and 129,685 is: 274,955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,167 : 129,685 = 129,685 : x
  2. Step 2: Convert to fraction form
    61,167/129,685 = 129,685/x
  3. Step 3: Cross multiply
    61,167x = 129,685 × 129,685
  4. Step 4: Simplify right side
    61,167x = 16,818,199,225
  5. Step 5: Solve for x
    x = 16,818,199,225/61,167
  6. Step 6: Final answer
    x = 274,955.44

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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.