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Finding the Third Proportional to 67,336 and 142,352

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Solution

The third proportional to 67,336 and 142,352 is: 300,939.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,336 : 142,352 = 142,352 : x
  2. Step 2: Convert to fraction form
    67,336/142,352 = 142,352/x
  3. Step 3: Cross multiply
    67,336x = 142,352 × 142,352
  4. Step 4: Simplify right side
    67,336x = 20,264,091,904
  5. Step 5: Solve for x
    x = 20,264,091,904/67,336
  6. Step 6: Final answer
    x = 300,939.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.