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Finding the Third Proportional to 101,764 and 149,604

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Solution

The third proportional to 101,764 and 149,604 is: 219,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,764 : 149,604 = 149,604 : x
  2. Step 2: Convert to fraction form
    101,764/149,604 = 149,604/x
  3. Step 3: Cross multiply
    101,764x = 149,604 × 149,604
  4. Step 4: Simplify right side
    101,764x = 22,381,356,816
  5. Step 5: Solve for x
    x = 22,381,356,816/101,764
  6. Step 6: Final answer
    x = 219,933.93

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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.