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Finding the Third Proportional to 79,464 and 174,102

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Solution

The third proportional to 79,464 and 174,102 is: 381,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,464 : 174,102 = 174,102 : x
  2. Step 2: Convert to fraction form
    79,464/174,102 = 174,102/x
  3. Step 3: Cross multiply
    79,464x = 174,102 × 174,102
  4. Step 4: Simplify right side
    79,464x = 30,311,506,404
  5. Step 5: Solve for x
    x = 30,311,506,404/79,464
  6. Step 6: Final answer
    x = 381,449.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.