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Finding the Third Proportional to 90,761 and 187,354

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Solution

The third proportional to 90,761 and 187,354 is: 386,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,761 : 187,354 = 187,354 : x
  2. Step 2: Convert to fraction form
    90,761/187,354 = 187,354/x
  3. Step 3: Cross multiply
    90,761x = 187,354 × 187,354
  4. Step 4: Simplify right side
    90,761x = 35,101,521,316
  5. Step 5: Solve for x
    x = 35,101,521,316/90,761
  6. Step 6: Final answer
    x = 386,746.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.