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Finding the Third Proportional to 52,760 and 112,384

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Solution

The third proportional to 52,760 and 112,384 is: 239,389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,760 : 112,384 = 112,384 : x
  2. Step 2: Convert to fraction form
    52,760/112,384 = 112,384/x
  3. Step 3: Cross multiply
    52,760x = 112,384 × 112,384
  4. Step 4: Simplify right side
    52,760x = 12,630,163,456
  5. Step 5: Solve for x
    x = 12,630,163,456/52,760
  6. Step 6: Final answer
    x = 239,389.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.