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Finding the Third Proportional to 54,424 and 79,772

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Solution

The third proportional to 54,424 and 79,772 is: 116,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,424 : 79,772 = 79,772 : x
  2. Step 2: Convert to fraction form
    54,424/79,772 = 79,772/x
  3. Step 3: Cross multiply
    54,424x = 79,772 × 79,772
  4. Step 4: Simplify right side
    54,424x = 6,363,571,984
  5. Step 5: Solve for x
    x = 6,363,571,984/54,424
  6. Step 6: Final answer
    x = 116,925.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.