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Finding the Third Proportional to 52,074 and 112,058

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Solution

The third proportional to 52,074 and 112,058 is: 241,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074 : 112,058 = 112,058 : x
  2. Step 2: Convert to fraction form
    52,074/112,058 = 112,058/x
  3. Step 3: Cross multiply
    52,074x = 112,058 × 112,058
  4. Step 4: Simplify right side
    52,074x = 12,556,995,364
  5. Step 5: Solve for x
    x = 12,556,995,364/52,074
  6. Step 6: Final answer
    x = 241,137.52

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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.