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Finding the Third Proportional to 40,024 and 86,255

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Solution

The third proportional to 40,024 and 86,255 is: 185,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,024 : 86,255 = 86,255 : x
  2. Step 2: Convert to fraction form
    40,024/86,255 = 86,255/x
  3. Step 3: Cross multiply
    40,024x = 86,255 × 86,255
  4. Step 4: Simplify right side
    40,024x = 7,439,925,025
  5. Step 5: Solve for x
    x = 7,439,925,025/40,024
  6. Step 6: Final answer
    x = 185,886.59

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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.