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Finding the Third Proportional to 101,337 and 152,061

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Solution

The third proportional to 101,337 and 152,061 is: 228,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,337 : 152,061 = 152,061 : x
  2. Step 2: Convert to fraction form
    101,337/152,061 = 152,061/x
  3. Step 3: Cross multiply
    101,337x = 152,061 × 152,061
  4. Step 4: Simplify right side
    101,337x = 23,122,547,721
  5. Step 5: Solve for x
    x = 23,122,547,721/101,337
  6. Step 6: Final answer
    x = 228,174.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.