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Finding the Third Proportional to 79,098 and 170,826.75

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Solution

The third proportional to 79,098 and 170,826.75 is: 368,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,098 : 170,826.75 = 170,826.75 : x
  2. Step 2: Convert to fraction form
    79,098/170,826.75 = 170,826.75/x
  3. Step 3: Cross multiply
    79,098x = 170,826.75 × 170,826.75
  4. Step 4: Simplify right side
    79,098x = 29,181,778,515.56
  5. Step 5: Solve for x
    x = 29,181,778,515.56/79,098
  6. Step 6: Final answer
    x = 368,931.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.