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Finding the Third Proportional to 56,780.44 and 82,705.78

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Solution

The third proportional to 56,780.44 and 82,705.78 is: 120,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,780.44 : 82,705.78 = 82,705.78 : x
  2. Step 2: Convert to fraction form
    56,780.44/82,705.78 = 82,705.78/x
  3. Step 3: Cross multiply
    56,780.44x = 82,705.78 × 82,705.78
  4. Step 4: Simplify right side
    56,780.44x = 6,840,246,252.17
  5. Step 5: Solve for x
    x = 6,840,246,252.17/56,780.44
  6. Step 6: Final answer
    x = 120,468.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.