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Finding the Third Proportional to 50,320 and 108,840

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Solution

The third proportional to 50,320 and 108,840 is: 235,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,320 : 108,840 = 108,840 : x
  2. Step 2: Convert to fraction form
    50,320/108,840 = 108,840/x
  3. Step 3: Cross multiply
    50,320x = 108,840 × 108,840
  4. Step 4: Simplify right side
    50,320x = 11,846,145,600
  5. Step 5: Solve for x
    x = 11,846,145,600/50,320
  6. Step 6: Final answer
    x = 235,416.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.