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Finding the Third Proportional to 60,434 and 133,396

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Solution

The third proportional to 60,434 and 133,396 is: 294,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,434 : 133,396 = 133,396 : x
  2. Step 2: Convert to fraction form
    60,434/133,396 = 133,396/x
  3. Step 3: Cross multiply
    60,434x = 133,396 × 133,396
  4. Step 4: Simplify right side
    60,434x = 17,794,492,816
  5. Step 5: Solve for x
    x = 17,794,492,816/60,434
  6. Step 6: Final answer
    x = 294,445.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.