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Finding the Third Proportional to 122,657 and 181,251

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Solution

The third proportional to 122,657 and 181,251 is: 267,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,657 : 181,251 = 181,251 : x
  2. Step 2: Convert to fraction form
    122,657/181,251 = 181,251/x
  3. Step 3: Cross multiply
    122,657x = 181,251 × 181,251
  4. Step 4: Simplify right side
    122,657x = 32,851,925,001
  5. Step 5: Solve for x
    x = 32,851,925,001/122,657
  6. Step 6: Final answer
    x = 267,835.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.