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Finding the Third Proportional to 60,433 and 133,394

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Solution

The third proportional to 60,433 and 133,394 is: 294,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,433 : 133,394 = 133,394 : x
  2. Step 2: Convert to fraction form
    60,433/133,394 = 133,394/x
  3. Step 3: Cross multiply
    60,433x = 133,394 × 133,394
  4. Step 4: Simplify right side
    60,433x = 17,793,959,236
  5. Step 5: Solve for x
    x = 17,793,959,236/60,433
  6. Step 6: Final answer
    x = 294,441.10

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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.