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Finding the Third Proportional to 60,583 and 141,512

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Solution

The third proportional to 60,583 and 141,512 is: 330,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,583 : 141,512 = 141,512 : x
  2. Step 2: Convert to fraction form
    60,583/141,512 = 141,512/x
  3. Step 3: Cross multiply
    60,583x = 141,512 × 141,512
  4. Step 4: Simplify right side
    60,583x = 20,025,646,144
  5. Step 5: Solve for x
    x = 20,025,646,144/60,583
  6. Step 6: Final answer
    x = 330,548.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.