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Finding the Third Proportional to 67,675.50 and 146,883.38

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Solution

The third proportional to 67,675.50 and 146,883.38 is: 318,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,675.50 : 146,883.38 = 146,883.38 : x
  2. Step 2: Convert to fraction form
    67,675.50/146,883.38 = 146,883.38/x
  3. Step 3: Cross multiply
    67,675.50x = 146,883.38 × 146,883.38
  4. Step 4: Simplify right side
    67,675.50x = 21,574,725,851.39
  5. Step 5: Solve for x
    x = 21,574,725,851.39/67,675.50
  6. Step 6: Final answer
    x = 318,796.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.