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Finding the Third Proportional to 82,356.75 and 115,657.88

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Solution

The third proportional to 82,356.75 and 115,657.88 is: 162,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,356.75 : 115,657.88 = 115,657.88 : x
  2. Step 2: Convert to fraction form
    82,356.75/115,657.88 = 115,657.88/x
  3. Step 3: Cross multiply
    82,356.75x = 115,657.88 × 115,657.88
  4. Step 4: Simplify right side
    82,356.75x = 13,376,744,049.52
  5. Step 5: Solve for x
    x = 13,376,744,049.52/82,356.75
  6. Step 6: Final answer
    x = 162,424.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.