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Finding the Third Proportional to 69,520 and 151,788

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Solution

The third proportional to 69,520 and 151,788 is: 331,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,520 : 151,788 = 151,788 : x
  2. Step 2: Convert to fraction form
    69,520/151,788 = 151,788/x
  3. Step 3: Cross multiply
    69,520x = 151,788 × 151,788
  4. Step 4: Simplify right side
    69,520x = 23,039,596,944
  5. Step 5: Solve for x
    x = 23,039,596,944/69,520
  6. Step 6: Final answer
    x = 331,409.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.