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Finding the Third Proportional to 31,043 and 67,487

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Solution

The third proportional to 31,043 and 67,487 is: 146,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043 : 67,487 = 67,487 : x
  2. Step 2: Convert to fraction form
    31,043/67,487 = 67,487/x
  3. Step 3: Cross multiply
    31,043x = 67,487 × 67,487
  4. Step 4: Simplify right side
    31,043x = 4,554,495,169
  5. Step 5: Solve for x
    x = 4,554,495,169/31,043
  6. Step 6: Final answer
    x = 146,715.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.