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Finding the Third Proportional to 98,894 and 157,234

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Solution

The third proportional to 98,894 and 157,234 is: 249,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,894 : 157,234 = 157,234 : x
  2. Step 2: Convert to fraction form
    98,894/157,234 = 157,234/x
  3. Step 3: Cross multiply
    98,894x = 157,234 × 157,234
  4. Step 4: Simplify right side
    98,894x = 24,722,530,756
  5. Step 5: Solve for x
    x = 24,722,530,756/98,894
  6. Step 6: Final answer
    x = 249,990.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.