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Finding the Third Proportional to 75,066.75 and 154,365.75

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Solution

The third proportional to 75,066.75 and 154,365.75 is: 317,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,066.75 : 154,365.75 = 154,365.75 : x
  2. Step 2: Convert to fraction form
    75,066.75/154,365.75 = 154,365.75/x
  3. Step 3: Cross multiply
    75,066.75x = 154,365.75 × 154,365.75
  4. Step 4: Simplify right side
    75,066.75x = 23,828,784,773.06
  5. Step 5: Solve for x
    x = 23,828,784,773.06/75,066.75
  6. Step 6: Final answer
    x = 317,434.61

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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.