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Finding the Third Proportional to 60,642 and 141,639

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Solution

The third proportional to 60,642 and 141,639 is: 330,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,642 : 141,639 = 141,639 : x
  2. Step 2: Convert to fraction form
    60,642/141,639 = 141,639/x
  3. Step 3: Cross multiply
    60,642x = 141,639 × 141,639
  4. Step 4: Simplify right side
    60,642x = 20,061,606,321
  5. Step 5: Solve for x
    x = 20,061,606,321/60,642
  6. Step 6: Final answer
    x = 330,820.33

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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.