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Finding the Third Proportional to 55,391.34 and 121,854.38

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Solution

The third proportional to 55,391.34 and 121,854.38 is: 268,065.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,391.34 : 121,854.38 = 121,854.38 : x
  2. Step 2: Convert to fraction form
    55,391.34/121,854.38 = 121,854.38/x
  3. Step 3: Cross multiply
    55,391.34x = 121,854.38 × 121,854.38
  4. Step 4: Simplify right side
    55,391.34x = 14,848,488,706.64
  5. Step 5: Solve for x
    x = 14,848,488,706.64/55,391.34
  6. Step 6: Final answer
    x = 268,065.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.