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Finding the Third Proportional to 78,370.50 and 170,727

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Solution

The third proportional to 78,370.50 and 170,727 is: 371,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,370.50 : 170,727 = 170,727 : x
  2. Step 2: Convert to fraction form
    78,370.50/170,727 = 170,727/x
  3. Step 3: Cross multiply
    78,370.50x = 170,727 × 170,727
  4. Step 4: Simplify right side
    78,370.50x = 29,147,708,529
  5. Step 5: Solve for x
    x = 29,147,708,529/78,370.50
  6. Step 6: Final answer
    x = 371,921.94

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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.