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Finding the Third Proportional to 54,584 and 77,248

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Solution

The third proportional to 54,584 and 77,248 is: 109,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,584 : 77,248 = 77,248 : x
  2. Step 2: Convert to fraction form
    54,584/77,248 = 77,248/x
  3. Step 3: Cross multiply
    54,584x = 77,248 × 77,248
  4. Step 4: Simplify right side
    54,584x = 5,967,253,504
  5. Step 5: Solve for x
    x = 5,967,253,504/54,584
  6. Step 6: Final answer
    x = 109,322.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.