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Finding the Third Proportional to 65,772 and 142,050

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Solution

The third proportional to 65,772 and 142,050 is: 306,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,772 : 142,050 = 142,050 : x
  2. Step 2: Convert to fraction form
    65,772/142,050 = 142,050/x
  3. Step 3: Cross multiply
    65,772x = 142,050 × 142,050
  4. Step 4: Simplify right side
    65,772x = 20,178,202,500
  5. Step 5: Solve for x
    x = 20,178,202,500/65,772
  6. Step 6: Final answer
    x = 306,790.16

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Why These Related Problems?

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