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Finding the Third Proportional to 53,282 and 76,751

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Solution

The third proportional to 53,282 and 76,751 is: 110,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,282 : 76,751 = 76,751 : x
  2. Step 2: Convert to fraction form
    53,282/76,751 = 76,751/x
  3. Step 3: Cross multiply
    53,282x = 76,751 × 76,751
  4. Step 4: Simplify right side
    53,282x = 5,890,716,001
  5. Step 5: Solve for x
    x = 5,890,716,001/53,282
  6. Step 6: Final answer
    x = 110,557.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.