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Finding the Third Proportional to 101,770 and 149,605

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Solution

The third proportional to 101,770 and 149,605 is: 219,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,770 : 149,605 = 149,605 : x
  2. Step 2: Convert to fraction form
    101,770/149,605 = 149,605/x
  3. Step 3: Cross multiply
    101,770x = 149,605 × 149,605
  4. Step 4: Simplify right side
    101,770x = 22,381,656,025
  5. Step 5: Solve for x
    x = 22,381,656,025/101,770
  6. Step 6: Final answer
    x = 219,923.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.