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Finding the Third Proportional to 42,228 and 90,354

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Solution

The third proportional to 42,228 and 90,354 is: 193,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,228 : 90,354 = 90,354 : x
  2. Step 2: Convert to fraction form
    42,228/90,354 = 90,354/x
  3. Step 3: Cross multiply
    42,228x = 90,354 × 90,354
  4. Step 4: Simplify right side
    42,228x = 8,163,845,316
  5. Step 5: Solve for x
    x = 8,163,845,316/42,228
  6. Step 6: Final answer
    x = 193,327.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.