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Finding the Third Proportional to 124,449.75 and 193,023

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Solution

The third proportional to 124,449.75 and 193,023 is: 299,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,449.75 : 193,023 = 193,023 : x
  2. Step 2: Convert to fraction form
    124,449.75/193,023 = 193,023/x
  3. Step 3: Cross multiply
    124,449.75x = 193,023 × 193,023
  4. Step 4: Simplify right side
    124,449.75x = 37,257,878,529
  5. Step 5: Solve for x
    x = 37,257,878,529/124,449.75
  6. Step 6: Final answer
    x = 299,380.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.