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Finding the Third Proportional to 126,762.75 and 271,521

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Solution

The third proportional to 126,762.75 and 271,521 is: 581,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,762.75 : 271,521 = 271,521 : x
  2. Step 2: Convert to fraction form
    126,762.75/271,521 = 271,521/x
  3. Step 3: Cross multiply
    126,762.75x = 271,521 × 271,521
  4. Step 4: Simplify right side
    126,762.75x = 73,723,653,441
  5. Step 5: Solve for x
    x = 73,723,653,441/126,762.75
  6. Step 6: Final answer
    x = 581,587.68

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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.