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Finding the Third Proportional to 52,012 and 112,039

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Solution

The third proportional to 52,012 and 112,039 is: 241,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,012 : 112,039 = 112,039 : x
  2. Step 2: Convert to fraction form
    52,012/112,039 = 112,039/x
  3. Step 3: Cross multiply
    52,012x = 112,039 × 112,039
  4. Step 4: Simplify right side
    52,012x = 12,552,737,521
  5. Step 5: Solve for x
    x = 12,552,737,521/52,012
  6. Step 6: Final answer
    x = 241,343.10

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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.