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Finding the Third Proportional to 67,870.50 and 146,147.25

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Solution

The third proportional to 67,870.50 and 146,147.25 is: 314,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,870.50 : 146,147.25 = 146,147.25 : x
  2. Step 2: Convert to fraction form
    67,870.50/146,147.25 = 146,147.25/x
  3. Step 3: Cross multiply
    67,870.50x = 146,147.25 × 146,147.25
  4. Step 4: Simplify right side
    67,870.50x = 21,359,018,682.56
  5. Step 5: Solve for x
    x = 21,359,018,682.56/67,870.50
  6. Step 6: Final answer
    x = 314,702.54

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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.