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Finding the Third Proportional to 67,413 and 146,890

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Solution

The third proportional to 67,413 and 146,890 is: 320,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,413 : 146,890 = 146,890 : x
  2. Step 2: Convert to fraction form
    67,413/146,890 = 146,890/x
  3. Step 3: Cross multiply
    67,413x = 146,890 × 146,890
  4. Step 4: Simplify right side
    67,413x = 21,576,672,100
  5. Step 5: Solve for x
    x = 21,576,672,100/67,413
  6. Step 6: Final answer
    x = 320,066.93

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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.