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Finding the Third Proportional to 60,611 and 129,646

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Solution

The third proportional to 60,611 and 129,646 is: 277,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,611 : 129,646 = 129,646 : x
  2. Step 2: Convert to fraction form
    60,611/129,646 = 129,646/x
  3. Step 3: Cross multiply
    60,611x = 129,646 × 129,646
  4. Step 4: Simplify right side
    60,611x = 16,808,085,316
  5. Step 5: Solve for x
    x = 16,808,085,316/60,611
  6. Step 6: Final answer
    x = 277,310.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.