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Finding the Third Proportional to 67,271.34 and 146,365.31

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Solution

The third proportional to 67,271.34 and 146,365.31 is: 318,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,271.34 : 146,365.31 = 146,365.31 : x
  2. Step 2: Convert to fraction form
    67,271.34/146,365.31 = 146,365.31/x
  3. Step 3: Cross multiply
    67,271.34x = 146,365.31 × 146,365.31
  4. Step 4: Simplify right side
    67,271.34x = 21,422,804,703.22
  5. Step 5: Solve for x
    x = 21,422,804,703.22/67,271.34
  6. Step 6: Final answer
    x = 318,453.65

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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.