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Finding the Third Proportional to 71,354 and 169,046

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Solution

The third proportional to 71,354 and 169,046 is: 400,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,354 : 169,046 = 169,046 : x
  2. Step 2: Convert to fraction form
    71,354/169,046 = 169,046/x
  3. Step 3: Cross multiply
    71,354x = 169,046 × 169,046
  4. Step 4: Simplify right side
    71,354x = 28,576,550,116
  5. Step 5: Solve for x
    x = 28,576,550,116/71,354
  6. Step 6: Final answer
    x = 400,489.81

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.