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Finding the Third Proportional to 40,627 and 88,543

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Solution

The third proportional to 40,627 and 88,543 is: 192,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,627 : 88,543 = 88,543 : x
  2. Step 2: Convert to fraction form
    40,627/88,543 = 88,543/x
  3. Step 3: Cross multiply
    40,627x = 88,543 × 88,543
  4. Step 4: Simplify right side
    40,627x = 7,839,862,849
  5. Step 5: Solve for x
    x = 7,839,862,849/40,627
  6. Step 6: Final answer
    x = 192,971.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.