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Finding the Third Proportional to 75,464.91 and 155,714.06

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Solution

The third proportional to 75,464.91 and 155,714.06 is: 321,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,464.91 : 155,714.06 = 155,714.06 : x
  2. Step 2: Convert to fraction form
    75,464.91/155,714.06 = 155,714.06/x
  3. Step 3: Cross multiply
    75,464.91x = 155,714.06 × 155,714.06
  4. Step 4: Simplify right side
    75,464.91x = 24,246,869,260.25
  5. Step 5: Solve for x
    x = 24,246,869,260.25/75,464.91
  6. Step 6: Final answer
    x = 321,299.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.