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Finding the Third Proportional to 39,177 and 85,711.50

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Solution

The third proportional to 39,177 and 85,711.50 is: 187,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,177 : 85,711.50 = 85,711.50 : x
  2. Step 2: Convert to fraction form
    39,177/85,711.50 = 85,711.50/x
  3. Step 3: Cross multiply
    39,177x = 85,711.50 × 85,711.50
  4. Step 4: Simplify right side
    39,177x = 7,346,461,232.25
  5. Step 5: Solve for x
    x = 7,346,461,232.25/39,177
  6. Step 6: Final answer
    x = 187,519.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.