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Finding the Third Proportional to 60,580 and 133,371

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Solution

The third proportional to 60,580 and 133,371 is: 293,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,580 : 133,371 = 133,371 : x
  2. Step 2: Convert to fraction form
    60,580/133,371 = 133,371/x
  3. Step 3: Cross multiply
    60,580x = 133,371 × 133,371
  4. Step 4: Simplify right side
    60,580x = 17,787,823,641
  5. Step 5: Solve for x
    x = 17,787,823,641/60,580
  6. Step 6: Final answer
    x = 293,625.35

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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.