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Finding the Third Proportional to 89,234 and 143,499

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Solution

The third proportional to 89,234 and 143,499 is: 230,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,234 : 143,499 = 143,499 : x
  2. Step 2: Convert to fraction form
    89,234/143,499 = 143,499/x
  3. Step 3: Cross multiply
    89,234x = 143,499 × 143,499
  4. Step 4: Simplify right side
    89,234x = 20,591,963,001
  5. Step 5: Solve for x
    x = 20,591,963,001/89,234
  6. Step 6: Final answer
    x = 230,763.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.