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Finding the Third Proportional to 72,450 and 111,944

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Solution

The third proportional to 72,450 and 111,944 is: 172,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,450 : 111,944 = 111,944 : x
  2. Step 2: Convert to fraction form
    72,450/111,944 = 111,944/x
  3. Step 3: Cross multiply
    72,450x = 111,944 × 111,944
  4. Step 4: Simplify right side
    72,450x = 12,531,459,136
  5. Step 5: Solve for x
    x = 12,531,459,136/72,450
  6. Step 6: Final answer
    x = 172,967.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.