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Finding the Third Proportional to 145,753.50 and 193,747.50

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Solution

The third proportional to 145,753.50 and 193,747.50 is: 257,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,753.50 : 193,747.50 = 193,747.50 : x
  2. Step 2: Convert to fraction form
    145,753.50/193,747.50 = 193,747.50/x
  3. Step 3: Cross multiply
    145,753.50x = 193,747.50 × 193,747.50
  4. Step 4: Simplify right side
    145,753.50x = 37,538,093,756.25
  5. Step 5: Solve for x
    x = 37,538,093,756.25/145,753.50
  6. Step 6: Final answer
    x = 257,545.06

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.