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Finding the Third Proportional to 40,088.25 and 86,599.13

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Solution

The third proportional to 40,088.25 and 86,599.13 is: 187,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,088.25 : 86,599.13 = 86,599.13 : x
  2. Step 2: Convert to fraction form
    40,088.25/86,599.13 = 86,599.13/x
  3. Step 3: Cross multiply
    40,088.25x = 86,599.13 × 86,599.13
  4. Step 4: Simplify right side
    40,088.25x = 7,499,408,450.77
  5. Step 5: Solve for x
    x = 7,499,408,450.77/40,088.25
  6. Step 6: Final answer
    x = 187,072.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.