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Finding the Third Proportional to 69,300 and 161,948

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Solution

The third proportional to 69,300 and 161,948 is: 378,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,300 : 161,948 = 161,948 : x
  2. Step 2: Convert to fraction form
    69,300/161,948 = 161,948/x
  3. Step 3: Cross multiply
    69,300x = 161,948 × 161,948
  4. Step 4: Simplify right side
    69,300x = 26,227,154,704
  5. Step 5: Solve for x
    x = 26,227,154,704/69,300
  6. Step 6: Final answer
    x = 378,458.22

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.