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Finding the Third Proportional to 55,494 and 121,350

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Solution

The third proportional to 55,494 and 121,350 is: 265,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,494 : 121,350 = 121,350 : x
  2. Step 2: Convert to fraction form
    55,494/121,350 = 121,350/x
  3. Step 3: Cross multiply
    55,494x = 121,350 × 121,350
  4. Step 4: Simplify right side
    55,494x = 14,725,822,500
  5. Step 5: Solve for x
    x = 14,725,822,500/55,494
  6. Step 6: Final answer
    x = 265,358.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.