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Finding the Third Proportional to 67,033 and 141,842

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Solution

The third proportional to 67,033 and 141,842 is: 300,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,033 : 141,842 = 141,842 : x
  2. Step 2: Convert to fraction form
    67,033/141,842 = 141,842/x
  3. Step 3: Cross multiply
    67,033x = 141,842 × 141,842
  4. Step 4: Simplify right side
    67,033x = 20,119,152,964
  5. Step 5: Solve for x
    x = 20,119,152,964/67,033
  6. Step 6: Final answer
    x = 300,138.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.