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Finding the Third Proportional to 82,035.28 and 179,254.27

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Solution

The third proportional to 82,035.28 and 179,254.27 is: 391,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,035.28 : 179,254.27 = 179,254.27 : x
  2. Step 2: Convert to fraction form
    82,035.28/179,254.27 = 179,254.27/x
  3. Step 3: Cross multiply
    82,035.28x = 179,254.27 × 179,254.27
  4. Step 4: Simplify right side
    82,035.28x = 32,132,091,744.76
  5. Step 5: Solve for x
    x = 32,132,091,744.76/82,035.28
  6. Step 6: Final answer
    x = 391,686.25

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