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Finding the Third Proportional to 79,152 and 170,592

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Solution

The third proportional to 79,152 and 170,592 is: 367,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,152 : 170,592 = 170,592 : x
  2. Step 2: Convert to fraction form
    79,152/170,592 = 170,592/x
  3. Step 3: Cross multiply
    79,152x = 170,592 × 170,592
  4. Step 4: Simplify right side
    79,152x = 29,101,630,464
  5. Step 5: Solve for x
    x = 29,101,630,464/79,152
  6. Step 6: Final answer
    x = 367,667.66

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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.