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Finding the Third Proportional to 65,787.50 and 144,697

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Solution

The third proportional to 65,787.50 and 144,697 is: 318,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,787.50 : 144,697 = 144,697 : x
  2. Step 2: Convert to fraction form
    65,787.50/144,697 = 144,697/x
  3. Step 3: Cross multiply
    65,787.50x = 144,697 × 144,697
  4. Step 4: Simplify right side
    65,787.50x = 20,937,221,809
  5. Step 5: Solve for x
    x = 20,937,221,809/65,787.50
  6. Step 6: Final answer
    x = 318,255.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.