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Finding the Third Proportional to 60,676 and 130,136

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Solution

The third proportional to 60,676 and 130,136 is: 279,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,676 : 130,136 = 130,136 : x
  2. Step 2: Convert to fraction form
    60,676/130,136 = 130,136/x
  3. Step 3: Cross multiply
    60,676x = 130,136 × 130,136
  4. Step 4: Simplify right side
    60,676x = 16,935,378,496
  5. Step 5: Solve for x
    x = 16,935,378,496/60,676
  6. Step 6: Final answer
    x = 279,111.65

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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.