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Finding the Third Proportional to 82,041.75 and 169,777.13

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Solution

The third proportional to 82,041.75 and 169,777.13 is: 351,336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,041.75 : 169,777.13 = 169,777.13 : x
  2. Step 2: Convert to fraction form
    82,041.75/169,777.13 = 169,777.13/x
  3. Step 3: Cross multiply
    82,041.75x = 169,777.13 × 169,777.13
  4. Step 4: Simplify right side
    82,041.75x = 28,824,272,173.27
  5. Step 5: Solve for x
    x = 28,824,272,173.27/82,041.75
  6. Step 6: Final answer
    x = 351,336.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.