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Finding the Third Proportional to 72,264 and 107,772

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Solution

The third proportional to 72,264 and 107,772 is: 160,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,264 : 107,772 = 107,772 : x
  2. Step 2: Convert to fraction form
    72,264/107,772 = 107,772/x
  3. Step 3: Cross multiply
    72,264x = 107,772 × 107,772
  4. Step 4: Simplify right side
    72,264x = 11,614,803,984
  5. Step 5: Solve for x
    x = 11,614,803,984/72,264
  6. Step 6: Final answer
    x = 160,727.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.