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Finding the Third Proportional to 101,210 and 151,266

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Solution

The third proportional to 101,210 and 151,266 is: 226,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,210 : 151,266 = 151,266 : x
  2. Step 2: Convert to fraction form
    101,210/151,266 = 151,266/x
  3. Step 3: Cross multiply
    101,210x = 151,266 × 151,266
  4. Step 4: Simplify right side
    101,210x = 22,881,402,756
  5. Step 5: Solve for x
    x = 22,881,402,756/101,210
  6. Step 6: Final answer
    x = 226,078.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.