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Finding the Third Proportional to 73,862.75 and 121,350.38

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Solution

The third proportional to 73,862.75 and 121,350.38 is: 199,368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,862.75 : 121,350.38 = 121,350.38 : x
  2. Step 2: Convert to fraction form
    73,862.75/121,350.38 = 121,350.38/x
  3. Step 3: Cross multiply
    73,862.75x = 121,350.38 × 121,350.38
  4. Step 4: Simplify right side
    73,862.75x = 14,725,913,512.64
  5. Step 5: Solve for x
    x = 14,725,913,512.64/73,862.75
  6. Step 6: Final answer
    x = 199,368.61

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.