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Finding the Third Proportional to 53,262 and 76,725

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Solution

The third proportional to 53,262 and 76,725 is: 110,523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,262 : 76,725 = 76,725 : x
  2. Step 2: Convert to fraction form
    53,262/76,725 = 76,725/x
  3. Step 3: Cross multiply
    53,262x = 76,725 × 76,725
  4. Step 4: Simplify right side
    53,262x = 5,886,725,625
  5. Step 5: Solve for x
    x = 5,886,725,625/53,262
  6. Step 6: Final answer
    x = 110,523.93

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