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Finding the Third Proportional to 35,252 and 76,816

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Solution

The third proportional to 35,252 and 76,816 is: 167,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,252 : 76,816 = 76,816 : x
  2. Step 2: Convert to fraction form
    35,252/76,816 = 76,816/x
  3. Step 3: Cross multiply
    35,252x = 76,816 × 76,816
  4. Step 4: Simplify right side
    35,252x = 5,900,697,856
  5. Step 5: Solve for x
    x = 5,900,697,856/35,252
  6. Step 6: Final answer
    x = 167,386.19

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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.