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Finding the Third Proportional to 52,413 and 113,170

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Solution

The third proportional to 52,413 and 113,170 is: 244,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,413 : 113,170 = 113,170 : x
  2. Step 2: Convert to fraction form
    52,413/113,170 = 113,170/x
  3. Step 3: Cross multiply
    52,413x = 113,170 × 113,170
  4. Step 4: Simplify right side
    52,413x = 12,807,448,900
  5. Step 5: Solve for x
    x = 12,807,448,900/52,413
  6. Step 6: Final answer
    x = 244,356.34

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