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Finding the Third Proportional to 72,864 and 106,832

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Solution

The third proportional to 72,864 and 106,832 is: 156,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,864 : 106,832 = 106,832 : x
  2. Step 2: Convert to fraction form
    72,864/106,832 = 106,832/x
  3. Step 3: Cross multiply
    72,864x = 106,832 × 106,832
  4. Step 4: Simplify right side
    72,864x = 11,413,076,224
  5. Step 5: Solve for x
    x = 11,413,076,224/72,864
  6. Step 6: Final answer
    x = 156,635.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.