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Finding the Third Proportional to 53,883 and 125,851.50

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Solution

The third proportional to 53,883 and 125,851.50 is: 293,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,883 : 125,851.50 = 125,851.50 : x
  2. Step 2: Convert to fraction form
    53,883/125,851.50 = 125,851.50/x
  3. Step 3: Cross multiply
    53,883x = 125,851.50 × 125,851.50
  4. Step 4: Simplify right side
    53,883x = 15,838,600,052.25
  5. Step 5: Solve for x
    x = 15,838,600,052.25/53,883
  6. Step 6: Final answer
    x = 293,944.29

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.