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Finding the Third Proportional to 56,938 and 81,109.50

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Solution

The third proportional to 56,938 and 81,109.50 is: 115,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,938 : 81,109.50 = 81,109.50 : x
  2. Step 2: Convert to fraction form
    56,938/81,109.50 = 81,109.50/x
  3. Step 3: Cross multiply
    56,938x = 81,109.50 × 81,109.50
  4. Step 4: Simplify right side
    56,938x = 6,578,750,990.25
  5. Step 5: Solve for x
    x = 6,578,750,990.25/56,938
  6. Step 6: Final answer
    x = 115,542.36

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.