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Finding the Third Proportional to 61,642 and 90,269

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Solution

The third proportional to 61,642 and 90,269 is: 132,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,642 : 90,269 = 90,269 : x
  2. Step 2: Convert to fraction form
    61,642/90,269 = 90,269/x
  3. Step 3: Cross multiply
    61,642x = 90,269 × 90,269
  4. Step 4: Simplify right side
    61,642x = 8,148,492,361
  5. Step 5: Solve for x
    x = 8,148,492,361/61,642
  6. Step 6: Final answer
    x = 132,190.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.