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Finding the Third Proportional to 54,482 and 77,097

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Solution

The third proportional to 54,482 and 77,097 is: 109,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,482 : 77,097 = 77,097 : x
  2. Step 2: Convert to fraction form
    54,482/77,097 = 77,097/x
  3. Step 3: Cross multiply
    54,482x = 77,097 × 77,097
  4. Step 4: Simplify right side
    54,482x = 5,943,947,409
  5. Step 5: Solve for x
    x = 5,943,947,409/54,482
  6. Step 6: Final answer
    x = 109,099.29

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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.