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Finding the Third Proportional to 59,358 and 140,121

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Solution

The third proportional to 59,358 and 140,121 is: 330,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,358 : 140,121 = 140,121 : x
  2. Step 2: Convert to fraction form
    59,358/140,121 = 140,121/x
  3. Step 3: Cross multiply
    59,358x = 140,121 × 140,121
  4. Step 4: Simplify right side
    59,358x = 19,633,894,641
  5. Step 5: Solve for x
    x = 19,633,894,641/59,358
  6. Step 6: Final answer
    x = 330,770.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.