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Finding the Third Proportional to 52,360 and 110,840

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Solution

The third proportional to 52,360 and 110,840 is: 234,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,360 : 110,840 = 110,840 : x
  2. Step 2: Convert to fraction form
    52,360/110,840 = 110,840/x
  3. Step 3: Cross multiply
    52,360x = 110,840 × 110,840
  4. Step 4: Simplify right side
    52,360x = 12,285,505,600
  5. Step 5: Solve for x
    x = 12,285,505,600/52,360
  6. Step 6: Final answer
    x = 234,635.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.