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Finding the Third Proportional to 52,426 and 113,156

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Solution

The third proportional to 52,426 and 113,156 is: 244,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,426 : 113,156 = 113,156 : x
  2. Step 2: Convert to fraction form
    52,426/113,156 = 113,156/x
  3. Step 3: Cross multiply
    52,426x = 113,156 × 113,156
  4. Step 4: Simplify right side
    52,426x = 12,804,280,336
  5. Step 5: Solve for x
    x = 12,804,280,336/52,426
  6. Step 6: Final answer
    x = 244,235.31

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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.