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Finding the Third Proportional to 77,944 and 188,461

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Solution

The third proportional to 77,944 and 188,461 is: 455,680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,944 : 188,461 = 188,461 : x
  2. Step 2: Convert to fraction form
    77,944/188,461 = 188,461/x
  3. Step 3: Cross multiply
    77,944x = 188,461 × 188,461
  4. Step 4: Simplify right side
    77,944x = 35,517,548,521
  5. Step 5: Solve for x
    x = 35,517,548,521/77,944
  6. Step 6: Final answer
    x = 455,680.34

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.