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Finding the Third Proportional to 67,887 and 105,715

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Solution

The third proportional to 67,887 and 105,715 is: 164,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,887 : 105,715 = 105,715 : x
  2. Step 2: Convert to fraction form
    67,887/105,715 = 105,715/x
  3. Step 3: Cross multiply
    67,887x = 105,715 × 105,715
  4. Step 4: Simplify right side
    67,887x = 11,175,661,225
  5. Step 5: Solve for x
    x = 11,175,661,225/67,887
  6. Step 6: Final answer
    x = 164,621.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.