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Finding the Third Proportional to 35,336 and 77,144

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Solution

The third proportional to 35,336 and 77,144 is: 168,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,336 : 77,144 = 77,144 : x
  2. Step 2: Convert to fraction form
    35,336/77,144 = 77,144/x
  3. Step 3: Cross multiply
    35,336x = 77,144 × 77,144
  4. Step 4: Simplify right side
    35,336x = 5,951,196,736
  5. Step 5: Solve for x
    x = 5,951,196,736/35,336
  6. Step 6: Final answer
    x = 168,417.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.