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Finding the Third Proportional to 115,264 and 169,152

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Solution

The third proportional to 115,264 and 169,152 is: 248,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,264 : 169,152 = 169,152 : x
  2. Step 2: Convert to fraction form
    115,264/169,152 = 169,152/x
  3. Step 3: Cross multiply
    115,264x = 169,152 × 169,152
  4. Step 4: Simplify right side
    115,264x = 28,612,399,104
  5. Step 5: Solve for x
    x = 28,612,399,104/115,264
  6. Step 6: Final answer
    x = 248,233.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.