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Finding the Third Proportional to 75,285 and 110,097.75

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Solution

The third proportional to 75,285 and 110,097.75 is: 161,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,285 : 110,097.75 = 110,097.75 : x
  2. Step 2: Convert to fraction form
    75,285/110,097.75 = 110,097.75/x
  3. Step 3: Cross multiply
    75,285x = 110,097.75 × 110,097.75
  4. Step 4: Simplify right side
    75,285x = 12,121,514,555.06
  5. Step 5: Solve for x
    x = 12,121,514,555.06/75,285
  6. Step 6: Final answer
    x = 161,008.36

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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.