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Finding the Third Proportional to 115,210 and 164,751

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Solution

The third proportional to 115,210 and 164,751 is: 235,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,210 : 164,751 = 164,751 : x
  2. Step 2: Convert to fraction form
    115,210/164,751 = 164,751/x
  3. Step 3: Cross multiply
    115,210x = 164,751 × 164,751
  4. Step 4: Simplify right side
    115,210x = 27,142,892,001
  5. Step 5: Solve for x
    x = 27,142,892,001/115,210
  6. Step 6: Final answer
    x = 235,594.93

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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.