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Finding the Third Proportional to 40,273 and 86,377

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Solution

The third proportional to 40,273 and 86,377 is: 185,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,273 : 86,377 = 86,377 : x
  2. Step 2: Convert to fraction form
    40,273/86,377 = 86,377/x
  3. Step 3: Cross multiply
    40,273x = 86,377 × 86,377
  4. Step 4: Simplify right side
    40,273x = 7,460,986,129
  5. Step 5: Solve for x
    x = 7,460,986,129/40,273
  6. Step 6: Final answer
    x = 185,260.25

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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.