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Finding the Third Proportional to 82,629 and 169,614

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Solution

The third proportional to 82,629 and 169,614 is: 348,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,629 : 169,614 = 169,614 : x
  2. Step 2: Convert to fraction form
    82,629/169,614 = 169,614/x
  3. Step 3: Cross multiply
    82,629x = 169,614 × 169,614
  4. Step 4: Simplify right side
    82,629x = 28,768,908,996
  5. Step 5: Solve for x
    x = 28,768,908,996/82,629
  6. Step 6: Final answer
    x = 348,169.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.