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Finding the Third Proportional to 52,558 and 112,892

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Solution

The third proportional to 52,558 and 112,892 is: 242,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,558 : 112,892 = 112,892 : x
  2. Step 2: Convert to fraction form
    52,558/112,892 = 112,892/x
  3. Step 3: Cross multiply
    52,558x = 112,892 × 112,892
  4. Step 4: Simplify right side
    52,558x = 12,744,603,664
  5. Step 5: Solve for x
    x = 12,744,603,664/52,558
  6. Step 6: Final answer
    x = 242,486.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.