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Finding the Third Proportional to 98,514 and 152,388

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Solution

The third proportional to 98,514 and 152,388 is: 235,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,514 : 152,388 = 152,388 : x
  2. Step 2: Convert to fraction form
    98,514/152,388 = 152,388/x
  3. Step 3: Cross multiply
    98,514x = 152,388 × 152,388
  4. Step 4: Simplify right side
    98,514x = 23,222,102,544
  5. Step 5: Solve for x
    x = 23,222,102,544/98,514
  6. Step 6: Final answer
    x = 235,723.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.