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Finding the Third Proportional to 101,207 and 151,260

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Solution

The third proportional to 101,207 and 151,260 is: 226,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,207 : 151,260 = 151,260 : x
  2. Step 2: Convert to fraction form
    101,207/151,260 = 151,260/x
  3. Step 3: Cross multiply
    101,207x = 151,260 × 151,260
  4. Step 4: Simplify right side
    101,207x = 22,879,587,600
  5. Step 5: Solve for x
    x = 22,879,587,600/101,207
  6. Step 6: Final answer
    x = 226,067.24

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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.