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Finding the Third Proportional to 65,977.50 and 142,215

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Solution

The third proportional to 65,977.50 and 142,215 is: 306,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,977.50 : 142,215 = 142,215 : x
  2. Step 2: Convert to fraction form
    65,977.50/142,215 = 142,215/x
  3. Step 3: Cross multiply
    65,977.50x = 142,215 × 142,215
  4. Step 4: Simplify right side
    65,977.50x = 20,225,106,225
  5. Step 5: Solve for x
    x = 20,225,106,225/65,977.50
  6. Step 6: Final answer
    x = 306,545.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.