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Finding the Third Proportional to 99,514 and 157,571

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Solution

The third proportional to 99,514 and 157,571 is: 249,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,514 : 157,571 = 157,571 : x
  2. Step 2: Convert to fraction form
    99,514/157,571 = 157,571/x
  3. Step 3: Cross multiply
    99,514x = 157,571 × 157,571
  4. Step 4: Simplify right side
    99,514x = 24,828,620,041
  5. Step 5: Solve for x
    x = 24,828,620,041/99,514
  6. Step 6: Final answer
    x = 249,498.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.