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Finding the Third Proportional to 99,252 and 148,898

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Solution

The third proportional to 99,252 and 148,898 is: 223,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,252 : 148,898 = 148,898 : x
  2. Step 2: Convert to fraction form
    99,252/148,898 = 148,898/x
  3. Step 3: Cross multiply
    99,252x = 148,898 × 148,898
  4. Step 4: Simplify right side
    99,252x = 22,170,614,404
  5. Step 5: Solve for x
    x = 22,170,614,404/99,252
  6. Step 6: Final answer
    x = 223,377.00

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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.