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Finding the Third Proportional to 35,216 and 71,008

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Solution

The third proportional to 35,216 and 71,008 is: 143,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,216 : 71,008 = 71,008 : x
  2. Step 2: Convert to fraction form
    35,216/71,008 = 71,008/x
  3. Step 3: Cross multiply
    35,216x = 71,008 × 71,008
  4. Step 4: Simplify right side
    35,216x = 5,042,136,064
  5. Step 5: Solve for x
    x = 5,042,136,064/35,216
  6. Step 6: Final answer
    x = 143,177.42

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.