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Finding the Third Proportional to 31,202 and 71,669

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Solution

The third proportional to 31,202 and 71,669 is: 164,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202 : 71,669 = 71,669 : x
  2. Step 2: Convert to fraction form
    31,202/71,669 = 71,669/x
  3. Step 3: Cross multiply
    31,202x = 71,669 × 71,669
  4. Step 4: Simplify right side
    31,202x = 5,136,445,561
  5. Step 5: Solve for x
    x = 5,136,445,561/31,202
  6. Step 6: Final answer
    x = 164,619.11

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.