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Finding the Third Proportional to 56,821.50 and 85,232.25

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Solution

The third proportional to 56,821.50 and 85,232.25 is: 127,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,821.50 : 85,232.25 = 85,232.25 : x
  2. Step 2: Convert to fraction form
    56,821.50/85,232.25 = 85,232.25/x
  3. Step 3: Cross multiply
    56,821.50x = 85,232.25 × 85,232.25
  4. Step 4: Simplify right side
    56,821.50x = 7,264,536,440.06
  5. Step 5: Solve for x
    x = 7,264,536,440.06/56,821.50
  6. Step 6: Final answer
    x = 127,848.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.