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Finding the Third Proportional to 77,050.50 and 165,559

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Solution

The third proportional to 77,050.50 and 165,559 is: 355,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,050.50 : 165,559 = 165,559 : x
  2. Step 2: Convert to fraction form
    77,050.50/165,559 = 165,559/x
  3. Step 3: Cross multiply
    77,050.50x = 165,559 × 165,559
  4. Step 4: Simplify right side
    77,050.50x = 27,409,782,481
  5. Step 5: Solve for x
    x = 27,409,782,481/77,050.50
  6. Step 6: Final answer
    x = 355,737.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.