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Finding the Third Proportional to 54,285 and 77,484

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Solution

The third proportional to 54,285 and 77,484 is: 110,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,285 : 77,484 = 77,484 : x
  2. Step 2: Convert to fraction form
    54,285/77,484 = 77,484/x
  3. Step 3: Cross multiply
    54,285x = 77,484 × 77,484
  4. Step 4: Simplify right side
    54,285x = 6,003,770,256
  5. Step 5: Solve for x
    x = 6,003,770,256/54,285
  6. Step 6: Final answer
    x = 110,597.22

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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.