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Finding the Third Proportional to 67,157 and 91,261

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Solution

The third proportional to 67,157 and 91,261 is: 124,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,157 : 91,261 = 91,261 : x
  2. Step 2: Convert to fraction form
    67,157/91,261 = 91,261/x
  3. Step 3: Cross multiply
    67,157x = 91,261 × 91,261
  4. Step 4: Simplify right side
    67,157x = 8,328,570,121
  5. Step 5: Solve for x
    x = 8,328,570,121/67,157
  6. Step 6: Final answer
    x = 124,016.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.