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Finding the Third Proportional to 99,153 and 148,949

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Solution

The third proportional to 99,153 and 148,949 is: 223,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,153 : 148,949 = 148,949 : x
  2. Step 2: Convert to fraction form
    99,153/148,949 = 148,949/x
  3. Step 3: Cross multiply
    99,153x = 148,949 × 148,949
  4. Step 4: Simplify right side
    99,153x = 22,185,804,601
  5. Step 5: Solve for x
    x = 22,185,804,601/99,153
  6. Step 6: Final answer
    x = 223,753.24

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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.