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Finding the Third Proportional to 81,598 and 127,050

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Solution

The third proportional to 81,598 and 127,050 is: 197,819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,598 : 127,050 = 127,050 : x
  2. Step 2: Convert to fraction form
    81,598/127,050 = 127,050/x
  3. Step 3: Cross multiply
    81,598x = 127,050 × 127,050
  4. Step 4: Simplify right side
    81,598x = 16,141,702,500
  5. Step 5: Solve for x
    x = 16,141,702,500/81,598
  6. Step 6: Final answer
    x = 197,819.83

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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.