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Finding the Third Proportional to 66,050 and 142,792

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Solution

The third proportional to 66,050 and 142,792 is: 308,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,050 : 142,792 = 142,792 : x
  2. Step 2: Convert to fraction form
    66,050/142,792 = 142,792/x
  3. Step 3: Cross multiply
    66,050x = 142,792 × 142,792
  4. Step 4: Simplify right side
    66,050x = 20,389,555,264
  5. Step 5: Solve for x
    x = 20,389,555,264/66,050
  6. Step 6: Final answer
    x = 308,698.79

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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.