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Finding the Third Proportional to 103,098 and 159,636

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Solution

The third proportional to 103,098 and 159,636 is: 247,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,098 : 159,636 = 159,636 : x
  2. Step 2: Convert to fraction form
    103,098/159,636 = 159,636/x
  3. Step 3: Cross multiply
    103,098x = 159,636 × 159,636
  4. Step 4: Simplify right side
    103,098x = 25,483,652,496
  5. Step 5: Solve for x
    x = 25,483,652,496/103,098
  6. Step 6: Final answer
    x = 247,178.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.