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Finding the Third Proportional to 52,785 and 113,895

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Solution

The third proportional to 52,785 and 113,895 is: 245,752.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,785 : 113,895 = 113,895 : x
  2. Step 2: Convert to fraction form
    52,785/113,895 = 113,895/x
  3. Step 3: Cross multiply
    52,785x = 113,895 × 113,895
  4. Step 4: Simplify right side
    52,785x = 12,972,071,025
  5. Step 5: Solve for x
    x = 12,972,071,025/52,785
  6. Step 6: Final answer
    x = 245,752.98

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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.