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Finding the Third Proportional to 31,477 and 68,117

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Solution

The third proportional to 31,477 and 68,117 is: 147,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477 : 68,117 = 68,117 : x
  2. Step 2: Convert to fraction form
    31,477/68,117 = 68,117/x
  3. Step 3: Cross multiply
    31,477x = 68,117 × 68,117
  4. Step 4: Simplify right side
    31,477x = 4,639,925,689
  5. Step 5: Solve for x
    x = 4,639,925,689/31,477
  6. Step 6: Final answer
    x = 147,406.86

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Why These Related Problems?

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