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Finding the Third Proportional to 52,058 and 78,195

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Solution

The third proportional to 52,058 and 78,195 is: 117,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,058 : 78,195 = 78,195 : x
  2. Step 2: Convert to fraction form
    52,058/78,195 = 78,195/x
  3. Step 3: Cross multiply
    52,058x = 78,195 × 78,195
  4. Step 4: Simplify right side
    52,058x = 6,114,458,025
  5. Step 5: Solve for x
    x = 6,114,458,025/52,058
  6. Step 6: Final answer
    x = 117,454.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.