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Finding the Third Proportional to 77,546 and 167,470

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Solution

The third proportional to 77,546 and 167,470 is: 361,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,546 : 167,470 = 167,470 : x
  2. Step 2: Convert to fraction form
    77,546/167,470 = 167,470/x
  3. Step 3: Cross multiply
    77,546x = 167,470 × 167,470
  4. Step 4: Simplify right side
    77,546x = 28,046,200,900
  5. Step 5: Solve for x
    x = 28,046,200,900/77,546
  6. Step 6: Final answer
    x = 361,671.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.