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Finding the Third Proportional to 55,538 and 121,883

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Solution

The third proportional to 55,538 and 121,883 is: 267,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,538 : 121,883 = 121,883 : x
  2. Step 2: Convert to fraction form
    55,538/121,883 = 121,883/x
  3. Step 3: Cross multiply
    55,538x = 121,883 × 121,883
  4. Step 4: Simplify right side
    55,538x = 14,855,465,689
  5. Step 5: Solve for x
    x = 14,855,465,689/55,538
  6. Step 6: Final answer
    x = 267,482.91

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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.