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Finding the Third Proportional to 52,433 and 113,613

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Solution

The third proportional to 52,433 and 113,613 is: 246,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,433 : 113,613 = 113,613 : x
  2. Step 2: Convert to fraction form
    52,433/113,613 = 113,613/x
  3. Step 3: Cross multiply
    52,433x = 113,613 × 113,613
  4. Step 4: Simplify right side
    52,433x = 12,907,913,769
  5. Step 5: Solve for x
    x = 12,907,913,769/52,433
  6. Step 6: Final answer
    x = 246,179.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.