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Finding the Third Proportional to 53,487 and 76,403.25

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Solution

The third proportional to 53,487 and 76,403.25 is: 109,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,487 : 76,403.25 = 76,403.25 : x
  2. Step 2: Convert to fraction form
    53,487/76,403.25 = 76,403.25/x
  3. Step 3: Cross multiply
    53,487x = 76,403.25 × 76,403.25
  4. Step 4: Simplify right side
    53,487x = 5,837,456,610.56
  5. Step 5: Solve for x
    x = 5,837,456,610.56/53,487
  6. Step 6: Final answer
    x = 109,137.86

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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.