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Finding the Third Proportional to 69,142 and 148,794

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Solution

The third proportional to 69,142 and 148,794 is: 320,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,142 : 148,794 = 148,794 : x
  2. Step 2: Convert to fraction form
    69,142/148,794 = 148,794/x
  3. Step 3: Cross multiply
    69,142x = 148,794 × 148,794
  4. Step 4: Simplify right side
    69,142x = 22,139,654,436
  5. Step 5: Solve for x
    x = 22,139,654,436/69,142
  6. Step 6: Final answer
    x = 320,205.58

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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.