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Finding the Third Proportional to 55,644 and 121,950

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Solution

The third proportional to 55,644 and 121,950 is: 267,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,644 : 121,950 = 121,950 : x
  2. Step 2: Convert to fraction form
    55,644/121,950 = 121,950/x
  3. Step 3: Cross multiply
    55,644x = 121,950 × 121,950
  4. Step 4: Simplify right side
    55,644x = 14,871,802,500
  5. Step 5: Solve for x
    x = 14,871,802,500/55,644
  6. Step 6: Final answer
    x = 267,266.96

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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.