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Finding the Third Proportional to 69,132 and 141,180

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Solution

The third proportional to 69,132 and 141,180 is: 288,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,132 : 141,180 = 141,180 : x
  2. Step 2: Convert to fraction form
    69,132/141,180 = 141,180/x
  3. Step 3: Cross multiply
    69,132x = 141,180 × 141,180
  4. Step 4: Simplify right side
    69,132x = 19,931,792,400
  5. Step 5: Solve for x
    x = 19,931,792,400/69,132
  6. Step 6: Final answer
    x = 288,315.00

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.