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Finding the Third Proportional to 72,468 and 109,723

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Solution

The third proportional to 72,468 and 109,723 is: 166,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,468 : 109,723 = 109,723 : x
  2. Step 2: Convert to fraction form
    72,468/109,723 = 109,723/x
  3. Step 3: Cross multiply
    72,468x = 109,723 × 109,723
  4. Step 4: Simplify right side
    72,468x = 12,039,136,729
  5. Step 5: Solve for x
    x = 12,039,136,729/72,468
  6. Step 6: Final answer
    x = 166,130.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.