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Finding the Third Proportional to 60,842 and 141,353

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Solution

The third proportional to 60,842 and 141,353 is: 328,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,842 : 141,353 = 141,353 : x
  2. Step 2: Convert to fraction form
    60,842/141,353 = 141,353/x
  3. Step 3: Cross multiply
    60,842x = 141,353 × 141,353
  4. Step 4: Simplify right side
    60,842x = 19,980,670,609
  5. Step 5: Solve for x
    x = 19,980,670,609/60,842
  6. Step 6: Final answer
    x = 328,402.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.