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Finding the Third Proportional to 71,323 and 107,269

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Solution

The third proportional to 71,323 and 107,269 is: 161,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,323 : 107,269 = 107,269 : x
  2. Step 2: Convert to fraction form
    71,323/107,269 = 107,269/x
  3. Step 3: Cross multiply
    71,323x = 107,269 × 107,269
  4. Step 4: Simplify right side
    71,323x = 11,506,638,361
  5. Step 5: Solve for x
    x = 11,506,638,361/71,323
  6. Step 6: Final answer
    x = 161,331.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.