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Finding the Third Proportional to 40,094 and 86,606

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Solution

The third proportional to 40,094 and 86,606 is: 187,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,094 : 86,606 = 86,606 : x
  2. Step 2: Convert to fraction form
    40,094/86,606 = 86,606/x
  3. Step 3: Cross multiply
    40,094x = 86,606 × 86,606
  4. Step 4: Simplify right side
    40,094x = 7,500,599,236
  5. Step 5: Solve for x
    x = 7,500,599,236/40,094
  6. Step 6: Final answer
    x = 187,075.35

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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.