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Finding the Third Proportional to 61,119 and 80,400.38

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Solution

The third proportional to 61,119 and 80,400.38 is: 105,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,119 : 80,400.38 = 80,400.38 : x
  2. Step 2: Convert to fraction form
    61,119/80,400.38 = 80,400.38/x
  3. Step 3: Cross multiply
    61,119x = 80,400.38 × 80,400.38
  4. Step 4: Simplify right side
    61,119x = 6,464,220,300.14
  5. Step 5: Solve for x
    x = 6,464,220,300.14/61,119
  6. Step 6: Final answer
    x = 105,764.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.