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Finding the Third Proportional to 81,700 and 94,660

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Solution

The third proportional to 81,700 and 94,660 is: 109,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,700 : 94,660 = 94,660 : x
  2. Step 2: Convert to fraction form
    81,700/94,660 = 94,660/x
  3. Step 3: Cross multiply
    81,700x = 94,660 × 94,660
  4. Step 4: Simplify right side
    81,700x = 8,960,515,600
  5. Step 5: Solve for x
    x = 8,960,515,600/81,700
  6. Step 6: Final answer
    x = 109,675.83

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.