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Finding the Third Proportional to 39,148.31 and 85,353.75

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Solution

The third proportional to 39,148.31 and 85,353.75 is: 186,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,148.31 : 85,353.75 = 85,353.75 : x
  2. Step 2: Convert to fraction form
    39,148.31/85,353.75 = 85,353.75/x
  3. Step 3: Cross multiply
    39,148.31x = 85,353.75 × 85,353.75
  4. Step 4: Simplify right side
    39,148.31x = 7,285,262,639.06
  5. Step 5: Solve for x
    x = 7,285,262,639.06/39,148.31
  6. Step 6: Final answer
    x = 186,093.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.