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Finding the Third Proportional to 99,599.25 and 149,779.13

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Solution

The third proportional to 99,599.25 and 149,779.13 is: 225,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,599.25 : 149,779.13 = 149,779.13 : x
  2. Step 2: Convert to fraction form
    99,599.25/149,779.13 = 149,779.13/x
  3. Step 3: Cross multiply
    99,599.25x = 149,779.13 × 149,779.13
  4. Step 4: Simplify right side
    99,599.25x = 22,433,786,285.77
  5. Step 5: Solve for x
    x = 22,433,786,285.77/99,599.25
  6. Step 6: Final answer
    x = 225,240.51

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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.