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Finding the Third Proportional to 31,922 and 67,294

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Solution

The third proportional to 31,922 and 67,294 is: 141,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,922 : 67,294 = 67,294 : x
  2. Step 2: Convert to fraction form
    31,922/67,294 = 67,294/x
  3. Step 3: Cross multiply
    31,922x = 67,294 × 67,294
  4. Step 4: Simplify right side
    31,922x = 4,528,482,436
  5. Step 5: Solve for x
    x = 4,528,482,436/31,922
  6. Step 6: Final answer
    x = 141,860.86

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.