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Finding the Third Proportional to 115,202 and 164,739

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Solution

The third proportional to 115,202 and 164,739 is: 235,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,202 : 164,739 = 164,739 : x
  2. Step 2: Convert to fraction form
    115,202/164,739 = 164,739/x
  3. Step 3: Cross multiply
    115,202x = 164,739 × 164,739
  4. Step 4: Simplify right side
    115,202x = 27,138,938,121
  5. Step 5: Solve for x
    x = 27,138,938,121/115,202
  6. Step 6: Final answer
    x = 235,576.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.