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Finding the Third Proportional to 53,288 and 76,760

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Solution

The third proportional to 53,288 and 76,760 is: 110,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,288 : 76,760 = 76,760 : x
  2. Step 2: Convert to fraction form
    53,288/76,760 = 76,760/x
  3. Step 3: Cross multiply
    53,288x = 76,760 × 76,760
  4. Step 4: Simplify right side
    53,288x = 5,892,097,600
  5. Step 5: Solve for x
    x = 5,892,097,600/53,288
  6. Step 6: Final answer
    x = 110,570.82

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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.