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Finding the Third Proportional to 106,447 and 160,115

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Solution

The third proportional to 106,447 and 160,115 is: 240,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,447 : 160,115 = 160,115 : x
  2. Step 2: Convert to fraction form
    106,447/160,115 = 160,115/x
  3. Step 3: Cross multiply
    106,447x = 160,115 × 160,115
  4. Step 4: Simplify right side
    106,447x = 25,636,813,225
  5. Step 5: Solve for x
    x = 25,636,813,225/106,447
  6. Step 6: Final answer
    x = 240,841.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.