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Finding the Third Proportional to 100,098 and 135,111

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Solution

The third proportional to 100,098 and 135,111 is: 182,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,098 : 135,111 = 135,111 : x
  2. Step 2: Convert to fraction form
    100,098/135,111 = 135,111/x
  3. Step 3: Cross multiply
    100,098x = 135,111 × 135,111
  4. Step 4: Simplify right side
    100,098x = 18,254,982,321
  5. Step 5: Solve for x
    x = 18,254,982,321/100,098
  6. Step 6: Final answer
    x = 182,371.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.