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Finding the Third Proportional to 67,714.75 and 145,835.50

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Solution

The third proportional to 67,714.75 and 145,835.50 is: 314,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,714.75 : 145,835.50 = 145,835.50 : x
  2. Step 2: Convert to fraction form
    67,714.75/145,835.50 = 145,835.50/x
  3. Step 3: Cross multiply
    67,714.75x = 145,835.50 × 145,835.50
  4. Step 4: Simplify right side
    67,714.75x = 21,267,993,060.25
  5. Step 5: Solve for x
    x = 21,267,993,060.25/67,714.75
  6. Step 6: Final answer
    x = 314,082.13

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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.