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Finding the Third Proportional to 73,656 and 109,944

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Solution

The third proportional to 73,656 and 109,944 is: 164,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,656 : 109,944 = 109,944 : x
  2. Step 2: Convert to fraction form
    73,656/109,944 = 109,944/x
  3. Step 3: Cross multiply
    73,656x = 109,944 × 109,944
  4. Step 4: Simplify right side
    73,656x = 12,087,683,136
  5. Step 5: Solve for x
    x = 12,087,683,136/73,656
  6. Step 6: Final answer
    x = 164,109.96

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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.