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Finding the Third Proportional to 53,221 and 74,000

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Solution

The third proportional to 53,221 and 74,000 is: 102,891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,221 : 74,000 = 74,000 : x
  2. Step 2: Convert to fraction form
    53,221/74,000 = 74,000/x
  3. Step 3: Cross multiply
    53,221x = 74,000 × 74,000
  4. Step 4: Simplify right side
    53,221x = 5,476,000,000
  5. Step 5: Solve for x
    x = 5,476,000,000/53,221
  6. Step 6: Final answer
    x = 102,891.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.