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Finding the Third Proportional to 41,712.38 and 89,985.75

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Solution

The third proportional to 41,712.38 and 89,985.75 is: 194,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,712.38 : 89,985.75 = 89,985.75 : x
  2. Step 2: Convert to fraction form
    41,712.38/89,985.75 = 89,985.75/x
  3. Step 3: Cross multiply
    41,712.38x = 89,985.75 × 89,985.75
  4. Step 4: Simplify right side
    41,712.38x = 8,097,435,203.06
  5. Step 5: Solve for x
    x = 8,097,435,203.06/41,712.38
  6. Step 6: Final answer
    x = 194,125.49

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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.