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Finding the Third Proportional to 106,942 and 149,506

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Solution

The third proportional to 106,942 and 149,506 is: 209,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,942 : 149,506 = 149,506 : x
  2. Step 2: Convert to fraction form
    106,942/149,506 = 149,506/x
  3. Step 3: Cross multiply
    106,942x = 149,506 × 149,506
  4. Step 4: Simplify right side
    106,942x = 22,352,044,036
  5. Step 5: Solve for x
    x = 22,352,044,036/106,942
  6. Step 6: Final answer
    x = 209,010.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.