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Finding the Third Proportional to 77,261 and 178,859

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Solution

The third proportional to 77,261 and 178,859 is: 414,058.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,261 : 178,859 = 178,859 : x
  2. Step 2: Convert to fraction form
    77,261/178,859 = 178,859/x
  3. Step 3: Cross multiply
    77,261x = 178,859 × 178,859
  4. Step 4: Simplify right side
    77,261x = 31,990,541,881
  5. Step 5: Solve for x
    x = 31,990,541,881/77,261
  6. Step 6: Final answer
    x = 414,058.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.