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Finding the Third Proportional to 79,584 and 119,577

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Solution

The third proportional to 79,584 and 119,577 is: 179,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,584 : 119,577 = 119,577 : x
  2. Step 2: Convert to fraction form
    79,584/119,577 = 119,577/x
  3. Step 3: Cross multiply
    79,584x = 119,577 × 119,577
  4. Step 4: Simplify right side
    79,584x = 14,298,658,929
  5. Step 5: Solve for x
    x = 14,298,658,929/79,584
  6. Step 6: Final answer
    x = 179,667.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.