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Finding the Third Proportional to 50,282 and 74,553

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Solution

The third proportional to 50,282 and 74,553 is: 110,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,282 : 74,553 = 74,553 : x
  2. Step 2: Convert to fraction form
    50,282/74,553 = 74,553/x
  3. Step 3: Cross multiply
    50,282x = 74,553 × 74,553
  4. Step 4: Simplify right side
    50,282x = 5,558,149,809
  5. Step 5: Solve for x
    x = 5,558,149,809/50,282
  6. Step 6: Final answer
    x = 110,539.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.