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Finding the Third Proportional to 31,158 and 67,340

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Solution

The third proportional to 31,158 and 67,340 is: 145,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,158 : 67,340 = 67,340 : x
  2. Step 2: Convert to fraction form
    31,158/67,340 = 67,340/x
  3. Step 3: Cross multiply
    31,158x = 67,340 × 67,340
  4. Step 4: Simplify right side
    31,158x = 4,534,675,600
  5. Step 5: Solve for x
    x = 4,534,675,600/31,158
  6. Step 6: Final answer
    x = 145,538.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.