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Finding the Third Proportional to 77,501.50 and 162,012.75

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Solution

The third proportional to 77,501.50 and 162,012.75 is: 338,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,501.50 : 162,012.75 = 162,012.75 : x
  2. Step 2: Convert to fraction form
    77,501.50/162,012.75 = 162,012.75/x
  3. Step 3: Cross multiply
    77,501.50x = 162,012.75 × 162,012.75
  4. Step 4: Simplify right side
    77,501.50x = 26,248,131,162.56
  5. Step 5: Solve for x
    x = 26,248,131,162.56/77,501.50
  6. Step 6: Final answer
    x = 338,679.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.