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Finding the Third Proportional to 85,937.44 and 185,039.63

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Solution

The third proportional to 85,937.44 and 185,039.63 is: 398,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,937.44 : 185,039.63 = 185,039.63 : x
  2. Step 2: Convert to fraction form
    85,937.44/185,039.63 = 185,039.63/x
  3. Step 3: Cross multiply
    85,937.44x = 185,039.63 × 185,039.63
  4. Step 4: Simplify right side
    85,937.44x = 34,239,662,820.14
  5. Step 5: Solve for x
    x = 34,239,662,820.14/85,937.44
  6. Step 6: Final answer
    x = 398,425.46

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Why These Related Problems?

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