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Finding the Third Proportional to 57,256.50 and 85,621.50

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Solution

The third proportional to 57,256.50 and 85,621.50 is: 128,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,256.50 : 85,621.50 = 85,621.50 : x
  2. Step 2: Convert to fraction form
    57,256.50/85,621.50 = 85,621.50/x
  3. Step 3: Cross multiply
    57,256.50x = 85,621.50 × 85,621.50
  4. Step 4: Simplify right side
    57,256.50x = 7,331,041,262.25
  5. Step 5: Solve for x
    x = 7,331,041,262.25/57,256.50
  6. Step 6: Final answer
    x = 128,038.59

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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.