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Finding the Third Proportional to 31,552 and 68,696

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Solution

The third proportional to 31,552 and 68,696 is: 149,567.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552 : 68,696 = 68,696 : x
  2. Step 2: Convert to fraction form
    31,552/68,696 = 68,696/x
  3. Step 3: Cross multiply
    31,552x = 68,696 × 68,696
  4. Step 4: Simplify right side
    31,552x = 4,719,140,416
  5. Step 5: Solve for x
    x = 4,719,140,416/31,552
  6. Step 6: Final answer
    x = 149,567.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.