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Finding the Third Proportional to 77,674.50 and 169,983

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Solution

The third proportional to 77,674.50 and 169,983 is: 371,991.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,674.50 : 169,983 = 169,983 : x
  2. Step 2: Convert to fraction form
    77,674.50/169,983 = 169,983/x
  3. Step 3: Cross multiply
    77,674.50x = 169,983 × 169,983
  4. Step 4: Simplify right side
    77,674.50x = 28,894,220,289
  5. Step 5: Solve for x
    x = 28,894,220,289/77,674.50
  6. Step 6: Final answer
    x = 371,991.07

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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.