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Finding the Third Proportional to 40,270.50 and 86,373

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Solution

The third proportional to 40,270.50 and 86,373 is: 185,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,270.50 : 86,373 = 86,373 : x
  2. Step 2: Convert to fraction form
    40,270.50/86,373 = 86,373/x
  3. Step 3: Cross multiply
    40,270.50x = 86,373 × 86,373
  4. Step 4: Simplify right side
    40,270.50x = 7,460,295,129
  5. Step 5: Solve for x
    x = 7,460,295,129/40,270.50
  6. Step 6: Final answer
    x = 185,254.59

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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.