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Finding the Third Proportional to 99,234 and 149,077

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Solution

The third proportional to 99,234 and 149,077 is: 223,955.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,234 : 149,077 = 149,077 : x
  2. Step 2: Convert to fraction form
    99,234/149,077 = 149,077/x
  3. Step 3: Cross multiply
    99,234x = 149,077 × 149,077
  4. Step 4: Simplify right side
    99,234x = 22,223,951,929
  5. Step 5: Solve for x
    x = 22,223,951,929/99,234
  6. Step 6: Final answer
    x = 223,955.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.