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Finding the Third Proportional to 82,136 and 127,436

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Solution

The third proportional to 82,136 and 127,436 is: 197,720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,136 : 127,436 = 127,436 : x
  2. Step 2: Convert to fraction form
    82,136/127,436 = 127,436/x
  3. Step 3: Cross multiply
    82,136x = 127,436 × 127,436
  4. Step 4: Simplify right side
    82,136x = 16,239,934,096
  5. Step 5: Solve for x
    x = 16,239,934,096/82,136
  6. Step 6: Final answer
    x = 197,720.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.