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Finding the Third Proportional to 90,774 and 157,214

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Solution

The third proportional to 90,774 and 157,214 is: 272,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,774 : 157,214 = 157,214 : x
  2. Step 2: Convert to fraction form
    90,774/157,214 = 157,214/x
  3. Step 3: Cross multiply
    90,774x = 157,214 × 157,214
  4. Step 4: Simplify right side
    90,774x = 24,716,241,796
  5. Step 5: Solve for x
    x = 24,716,241,796/90,774
  6. Step 6: Final answer
    x = 272,283.27

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.