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Finding the Third Proportional to 132,022.69 and 285,089.06

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Solution

The third proportional to 132,022.69 and 285,089.06 is: 615,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,022.69 : 285,089.06 = 285,089.06 : x
  2. Step 2: Convert to fraction form
    132,022.69/285,089.06 = 285,089.06/x
  3. Step 3: Cross multiply
    132,022.69x = 285,089.06 × 285,089.06
  4. Step 4: Simplify right side
    132,022.69x = 81,275,773,557.13
  5. Step 5: Solve for x
    x = 81,275,773,557.13/132,022.69
  6. Step 6: Final answer
    x = 615,619.75

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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.