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Finding the Third Proportional to 55,717.50 and 121,596

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Solution

The third proportional to 55,717.50 and 121,596 is: 265,367.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,717.50 : 121,596 = 121,596 : x
  2. Step 2: Convert to fraction form
    55,717.50/121,596 = 121,596/x
  3. Step 3: Cross multiply
    55,717.50x = 121,596 × 121,596
  4. Step 4: Simplify right side
    55,717.50x = 14,785,587,216
  5. Step 5: Solve for x
    x = 14,785,587,216/55,717.50
  6. Step 6: Final answer
    x = 265,367.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.