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Finding the Third Proportional to 39,981.09 and 86,158.69

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Solution

The third proportional to 39,981.09 and 86,158.69 is: 185,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,981.09 : 86,158.69 = 86,158.69 : x
  2. Step 2: Convert to fraction form
    39,981.09/86,158.69 = 86,158.69/x
  3. Step 3: Cross multiply
    39,981.09x = 86,158.69 × 86,158.69
  4. Step 4: Simplify right side
    39,981.09x = 7,423,319,431.72
  5. Step 5: Solve for x
    x = 7,423,319,431.72/39,981.09
  6. Step 6: Final answer
    x = 185,670.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.