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Finding the Third Proportional to 115,208 and 164,746

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Solution

The third proportional to 115,208 and 164,746 is: 235,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,208 : 164,746 = 164,746 : x
  2. Step 2: Convert to fraction form
    115,208/164,746 = 164,746/x
  3. Step 3: Cross multiply
    115,208x = 164,746 × 164,746
  4. Step 4: Simplify right side
    115,208x = 27,141,244,516
  5. Step 5: Solve for x
    x = 27,141,244,516/115,208
  6. Step 6: Final answer
    x = 235,584.72

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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.