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Finding the Third Proportional to 56,938.50 and 82,012.50

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Solution

The third proportional to 56,938.50 and 82,012.50 is: 118,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,938.50 : 82,012.50 = 82,012.50 : x
  2. Step 2: Convert to fraction form
    56,938.50/82,012.50 = 82,012.50/x
  3. Step 3: Cross multiply
    56,938.50x = 82,012.50 × 82,012.50
  4. Step 4: Simplify right side
    56,938.50x = 6,726,050,156.25
  5. Step 5: Solve for x
    x = 6,726,050,156.25/56,938.50
  6. Step 6: Final answer
    x = 118,128.33

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.