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Finding the Third Proportional to 76,098 and 111,660

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Solution

The third proportional to 76,098 and 111,660 is: 163,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,098 : 111,660 = 111,660 : x
  2. Step 2: Convert to fraction form
    76,098/111,660 = 111,660/x
  3. Step 3: Cross multiply
    76,098x = 111,660 × 111,660
  4. Step 4: Simplify right side
    76,098x = 12,467,955,600
  5. Step 5: Solve for x
    x = 12,467,955,600/76,098
  6. Step 6: Final answer
    x = 163,840.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.