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Finding the Third Proportional to 125,514.50 and 271,423

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Solution

The third proportional to 125,514.50 and 271,423 is: 586,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,514.50 : 271,423 = 271,423 : x
  2. Step 2: Convert to fraction form
    125,514.50/271,423 = 271,423/x
  3. Step 3: Cross multiply
    125,514.50x = 271,423 × 271,423
  4. Step 4: Simplify right side
    125,514.50x = 73,670,444,929
  5. Step 5: Solve for x
    x = 73,670,444,929/125,514.50
  6. Step 6: Final answer
    x = 586,947.68

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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.