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Finding the Third Proportional to 74,050.50 and 105,816

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Solution

The third proportional to 74,050.50 and 105,816 is: 151,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,050.50 : 105,816 = 105,816 : x
  2. Step 2: Convert to fraction form
    74,050.50/105,816 = 105,816/x
  3. Step 3: Cross multiply
    74,050.50x = 105,816 × 105,816
  4. Step 4: Simplify right side
    74,050.50x = 11,197,025,856
  5. Step 5: Solve for x
    x = 11,197,025,856/74,050.50
  6. Step 6: Final answer
    x = 151,207.97

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.