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Finding the Third Proportional to 40,351 and 88,071

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Solution

The third proportional to 40,351 and 88,071 is: 192,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,351 : 88,071 = 88,071 : x
  2. Step 2: Convert to fraction form
    40,351/88,071 = 88,071/x
  3. Step 3: Cross multiply
    40,351x = 88,071 × 88,071
  4. Step 4: Simplify right side
    40,351x = 7,756,501,041
  5. Step 5: Solve for x
    x = 7,756,501,041/40,351
  6. Step 6: Final answer
    x = 192,225.75

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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.