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Finding the Third Proportional to 69,146 and 148,802

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Solution

The third proportional to 69,146 and 148,802 is: 320,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,146 : 148,802 = 148,802 : x
  2. Step 2: Convert to fraction form
    69,146/148,802 = 148,802/x
  3. Step 3: Cross multiply
    69,146x = 148,802 × 148,802
  4. Step 4: Simplify right side
    69,146x = 22,142,035,204
  5. Step 5: Solve for x
    x = 22,142,035,204/69,146
  6. Step 6: Final answer
    x = 320,221.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.