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Finding the Third Proportional to 42,849 and 88,677

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Solution

The third proportional to 42,849 and 88,677 is: 183,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,849 : 88,677 = 88,677 : x
  2. Step 2: Convert to fraction form
    42,849/88,677 = 88,677/x
  3. Step 3: Cross multiply
    42,849x = 88,677 × 88,677
  4. Step 4: Simplify right side
    42,849x = 7,863,610,329
  5. Step 5: Solve for x
    x = 7,863,610,329/42,849
  6. Step 6: Final answer
    x = 183,519.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.