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Finding the Third Proportional to 53,725.50 and 76,938

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Solution

The third proportional to 53,725.50 and 76,938 is: 110,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,725.50 : 76,938 = 76,938 : x
  2. Step 2: Convert to fraction form
    53,725.50/76,938 = 76,938/x
  3. Step 3: Cross multiply
    53,725.50x = 76,938 × 76,938
  4. Step 4: Simplify right side
    53,725.50x = 5,919,455,844
  5. Step 5: Solve for x
    x = 5,919,455,844/53,725.50
  6. Step 6: Final answer
    x = 110,179.63

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.