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Finding the Third Proportional to 75,424 and 148,945

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Solution

The third proportional to 75,424 and 148,945 is: 294,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,424 : 148,945 = 148,945 : x
  2. Step 2: Convert to fraction form
    75,424/148,945 = 148,945/x
  3. Step 3: Cross multiply
    75,424x = 148,945 × 148,945
  4. Step 4: Simplify right side
    75,424x = 22,184,613,025
  5. Step 5: Solve for x
    x = 22,184,613,025/75,424
  6. Step 6: Final answer
    x = 294,132.01

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.