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Finding the Third Proportional to 124,454.25 and 193,029.75

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Solution

The third proportional to 124,454.25 and 193,029.75 is: 299,391.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,454.25 : 193,029.75 = 193,029.75 : x
  2. Step 2: Convert to fraction form
    124,454.25/193,029.75 = 193,029.75/x
  3. Step 3: Cross multiply
    124,454.25x = 193,029.75 × 193,029.75
  4. Step 4: Simplify right side
    124,454.25x = 37,260,484,385.06
  5. Step 5: Solve for x
    x = 37,260,484,385.06/124,454.25
  6. Step 6: Final answer
    x = 299,391.02

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