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Finding the Third Proportional to 56,571 and 83,137.50

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Solution

The third proportional to 56,571 and 83,137.50 is: 122,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,571 : 83,137.50 = 83,137.50 : x
  2. Step 2: Convert to fraction form
    56,571/83,137.50 = 83,137.50/x
  3. Step 3: Cross multiply
    56,571x = 83,137.50 × 83,137.50
  4. Step 4: Simplify right side
    56,571x = 6,911,843,906.25
  5. Step 5: Solve for x
    x = 6,911,843,906.25/56,571
  6. Step 6: Final answer
    x = 122,179.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.