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Finding the Third Proportional to 79,044 and 171,210

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Solution

The third proportional to 79,044 and 171,210 is: 370,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,044 : 171,210 = 171,210 : x
  2. Step 2: Convert to fraction form
    79,044/171,210 = 171,210/x
  3. Step 3: Cross multiply
    79,044x = 171,210 × 171,210
  4. Step 4: Simplify right side
    79,044x = 29,312,864,100
  5. Step 5: Solve for x
    x = 29,312,864,100/79,044
  6. Step 6: Final answer
    x = 370,842.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.