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Finding the Third Proportional to 125,768 and 271,136

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Solution

The third proportional to 125,768 and 271,136 is: 584,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,768 : 271,136 = 271,136 : x
  2. Step 2: Convert to fraction form
    125,768/271,136 = 271,136/x
  3. Step 3: Cross multiply
    125,768x = 271,136 × 271,136
  4. Step 4: Simplify right side
    125,768x = 73,514,730,496
  5. Step 5: Solve for x
    x = 73,514,730,496/125,768
  6. Step 6: Final answer
    x = 584,526.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.