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Finding the Third Proportional to 72,457.50 and 108,018

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Solution

The third proportional to 72,457.50 and 108,018 is: 161,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,457.50 : 108,018 = 108,018 : x
  2. Step 2: Convert to fraction form
    72,457.50/108,018 = 108,018/x
  3. Step 3: Cross multiply
    72,457.50x = 108,018 × 108,018
  4. Step 4: Simplify right side
    72,457.50x = 11,667,888,324
  5. Step 5: Solve for x
    x = 11,667,888,324/72,457.50
  6. Step 6: Final answer
    x = 161,030.79

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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.