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Finding the Third Proportional to 82,022.63 and 176,848.31

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Solution

The third proportional to 82,022.63 and 176,848.31 is: 381,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,022.63 : 176,848.31 = 176,848.31 : x
  2. Step 2: Convert to fraction form
    82,022.63/176,848.31 = 176,848.31/x
  3. Step 3: Cross multiply
    82,022.63x = 176,848.31 × 176,848.31
  4. Step 4: Simplify right side
    82,022.63x = 31,275,325,634.10
  5. Step 5: Solve for x
    x = 31,275,325,634.10/82,022.63
  6. Step 6: Final answer
    x = 381,301.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.