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Finding the Third Proportional to 52,302 and 113,214

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Solution

The third proportional to 52,302 and 113,214 is: 245,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,302 : 113,214 = 113,214 : x
  2. Step 2: Convert to fraction form
    52,302/113,214 = 113,214/x
  3. Step 3: Cross multiply
    52,302x = 113,214 × 113,214
  4. Step 4: Simplify right side
    52,302x = 12,817,409,796
  5. Step 5: Solve for x
    x = 12,817,409,796/52,302
  6. Step 6: Final answer
    x = 245,065.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.