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Finding the Third Proportional to 101,486 and 152,247

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Solution

The third proportional to 101,486 and 152,247 is: 228,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,486 : 152,247 = 152,247 : x
  2. Step 2: Convert to fraction form
    101,486/152,247 = 152,247/x
  3. Step 3: Cross multiply
    101,486x = 152,247 × 152,247
  4. Step 4: Simplify right side
    101,486x = 23,179,149,009
  5. Step 5: Solve for x
    x = 23,179,149,009/101,486
  6. Step 6: Final answer
    x = 228,397.50

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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.