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Finding the Third Proportional to 69,088 and 151,712

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Solution

The third proportional to 69,088 and 151,712 is: 333,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,088 : 151,712 = 151,712 : x
  2. Step 2: Convert to fraction form
    69,088/151,712 = 151,712/x
  3. Step 3: Cross multiply
    69,088x = 151,712 × 151,712
  4. Step 4: Simplify right side
    69,088x = 23,016,530,944
  5. Step 5: Solve for x
    x = 23,016,530,944/69,088
  6. Step 6: Final answer
    x = 333,148.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.