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Finding the Third Proportional to 66,098 and 88,107

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Solution

The third proportional to 66,098 and 88,107 is: 117,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,098 : 88,107 = 88,107 : x
  2. Step 2: Convert to fraction form
    66,098/88,107 = 88,107/x
  3. Step 3: Cross multiply
    66,098x = 88,107 × 88,107
  4. Step 4: Simplify right side
    66,098x = 7,762,843,449
  5. Step 5: Solve for x
    x = 7,762,843,449/66,098
  6. Step 6: Final answer
    x = 117,444.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.