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Finding the Third Proportional to 100,363 and 151,395

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Solution

The third proportional to 100,363 and 151,395 is: 228,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,363 : 151,395 = 151,395 : x
  2. Step 2: Convert to fraction form
    100,363/151,395 = 151,395/x
  3. Step 3: Cross multiply
    100,363x = 151,395 × 151,395
  4. Step 4: Simplify right side
    100,363x = 22,920,446,025
  5. Step 5: Solve for x
    x = 22,920,446,025/100,363
  6. Step 6: Final answer
    x = 228,375.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.