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Finding the Third Proportional to 106,439 and 160,102

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Solution

The third proportional to 106,439 and 160,102 is: 240,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,439 : 160,102 = 160,102 : x
  2. Step 2: Convert to fraction form
    106,439/160,102 = 160,102/x
  3. Step 3: Cross multiply
    106,439x = 160,102 × 160,102
  4. Step 4: Simplify right side
    106,439x = 25,632,650,404
  5. Step 5: Solve for x
    x = 25,632,650,404/106,439
  6. Step 6: Final answer
    x = 240,820.10

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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.