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Finding the Third Proportional to 72,619 and 108,118

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Solution

The third proportional to 72,619 and 108,118 is: 160,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,619 : 108,118 = 108,118 : x
  2. Step 2: Convert to fraction form
    72,619/108,118 = 108,118/x
  3. Step 3: Cross multiply
    72,619x = 108,118 × 108,118
  4. Step 4: Simplify right side
    72,619x = 11,689,501,924
  5. Step 5: Solve for x
    x = 11,689,501,924/72,619
  6. Step 6: Final answer
    x = 160,970.30

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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.