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Finding the Third Proportional to 60,603 and 141,543

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Solution

The third proportional to 60,603 and 141,543 is: 330,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,603 : 141,543 = 141,543 : x
  2. Step 2: Convert to fraction form
    60,603/141,543 = 141,543/x
  3. Step 3: Cross multiply
    60,603x = 141,543 × 141,543
  4. Step 4: Simplify right side
    60,603x = 20,034,420,849
  5. Step 5: Solve for x
    x = 20,034,420,849/60,603
  6. Step 6: Final answer
    x = 330,584.64

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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.