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Finding the Third Proportional to 107,073 and 233,214

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Solution

The third proportional to 107,073 and 233,214 is: 507,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,073 : 233,214 = 233,214 : x
  2. Step 2: Convert to fraction form
    107,073/233,214 = 233,214/x
  3. Step 3: Cross multiply
    107,073x = 233,214 × 233,214
  4. Step 4: Simplify right side
    107,073x = 54,388,769,796
  5. Step 5: Solve for x
    x = 54,388,769,796/107,073
  6. Step 6: Final answer
    x = 507,959.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.