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Finding the Third Proportional to 77,557.50 and 162,217.13

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Solution

The third proportional to 77,557.50 and 162,217.13 is: 339,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,557.50 : 162,217.13 = 162,217.13 : x
  2. Step 2: Convert to fraction form
    77,557.50/162,217.13 = 162,217.13/x
  3. Step 3: Cross multiply
    77,557.50x = 162,217.13 × 162,217.13
  4. Step 4: Simplify right side
    77,557.50x = 26,314,395,643.27
  5. Step 5: Solve for x
    x = 26,314,395,643.27/77,557.50
  6. Step 6: Final answer
    x = 339,288.86

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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.