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Finding the Third Proportional to 64,524 and 141,792

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Solution

The third proportional to 64,524 and 141,792 is: 311,589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,524 : 141,792 = 141,792 : x
  2. Step 2: Convert to fraction form
    64,524/141,792 = 141,792/x
  3. Step 3: Cross multiply
    64,524x = 141,792 × 141,792
  4. Step 4: Simplify right side
    64,524x = 20,104,971,264
  5. Step 5: Solve for x
    x = 20,104,971,264/64,524
  6. Step 6: Final answer
    x = 311,589.04

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Why These Related Problems?

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