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Finding the Third Proportional to 43,587 and 92,070

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Solution

The third proportional to 43,587 and 92,070 is: 194,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,587 : 92,070 = 92,070 : x
  2. Step 2: Convert to fraction form
    43,587/92,070 = 92,070/x
  3. Step 3: Cross multiply
    43,587x = 92,070 × 92,070
  4. Step 4: Simplify right side
    43,587x = 8,476,884,900
  5. Step 5: Solve for x
    x = 8,476,884,900/43,587
  6. Step 6: Final answer
    x = 194,481.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.