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Finding the Third Proportional to 99,046 and 149,042

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Solution

The third proportional to 99,046 and 149,042 is: 224,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,046 : 149,042 = 149,042 : x
  2. Step 2: Convert to fraction form
    99,046/149,042 = 149,042/x
  3. Step 3: Cross multiply
    99,046x = 149,042 × 149,042
  4. Step 4: Simplify right side
    99,046x = 22,213,517,764
  5. Step 5: Solve for x
    x = 22,213,517,764/99,046
  6. Step 6: Final answer
    x = 224,274.76

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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.