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Finding the Third Proportional to 78,775 and 172,861

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Solution

The third proportional to 78,775 and 172,861 is: 379,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,775 : 172,861 = 172,861 : x
  2. Step 2: Convert to fraction form
    78,775/172,861 = 172,861/x
  3. Step 3: Cross multiply
    78,775x = 172,861 × 172,861
  4. Step 4: Simplify right side
    78,775x = 29,880,925,321
  5. Step 5: Solve for x
    x = 29,880,925,321/78,775
  6. Step 6: Final answer
    x = 379,319.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.