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Finding the Third Proportional to 47,514 and 102,560

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Solution

The third proportional to 47,514 and 102,560 is: 221,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,514 : 102,560 = 102,560 : x
  2. Step 2: Convert to fraction form
    47,514/102,560 = 102,560/x
  3. Step 3: Cross multiply
    47,514x = 102,560 × 102,560
  4. Step 4: Simplify right side
    47,514x = 10,518,553,600
  5. Step 5: Solve for x
    x = 10,518,553,600/47,514
  6. Step 6: Final answer
    x = 221,377.99

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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.