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Finding the Third Proportional to 54,244 and 77,424

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Solution

The third proportional to 54,244 and 77,424 is: 110,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,244 : 77,424 = 77,424 : x
  2. Step 2: Convert to fraction form
    54,244/77,424 = 77,424/x
  3. Step 3: Cross multiply
    54,244x = 77,424 × 77,424
  4. Step 4: Simplify right side
    54,244x = 5,994,475,776
  5. Step 5: Solve for x
    x = 5,994,475,776/54,244
  6. Step 6: Final answer
    x = 110,509.47

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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.