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Finding the Third Proportional to 79,629 and 174,567

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Solution

The third proportional to 79,629 and 174,567 is: 382,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,629 : 174,567 = 174,567 : x
  2. Step 2: Convert to fraction form
    79,629/174,567 = 174,567/x
  3. Step 3: Cross multiply
    79,629x = 174,567 × 174,567
  4. Step 4: Simplify right side
    79,629x = 30,473,637,489
  5. Step 5: Solve for x
    x = 30,473,637,489/79,629
  6. Step 6: Final answer
    x = 382,695.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.