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Finding the Third Proportional to 40,071 and 85,701

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Solution

The third proportional to 40,071 and 85,701 is: 183,291.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,071 : 85,701 = 85,701 : x
  2. Step 2: Convert to fraction form
    40,071/85,701 = 85,701/x
  3. Step 3: Cross multiply
    40,071x = 85,701 × 85,701
  4. Step 4: Simplify right side
    40,071x = 7,344,661,401
  5. Step 5: Solve for x
    x = 7,344,661,401/40,071
  6. Step 6: Final answer
    x = 183,291.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.