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Finding the Third Proportional to 99,726 and 149,251.50

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Solution

The third proportional to 99,726 and 149,251.50 is: 223,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,726 : 149,251.50 = 149,251.50 : x
  2. Step 2: Convert to fraction form
    99,726/149,251.50 = 149,251.50/x
  3. Step 3: Cross multiply
    99,726x = 149,251.50 × 149,251.50
  4. Step 4: Simplify right side
    99,726x = 22,276,010,252.25
  5. Step 5: Solve for x
    x = 22,276,010,252.25/99,726
  6. Step 6: Final answer
    x = 223,372.14

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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.