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Finding the Third Proportional to 57,152.63 and 85,725.94

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Solution

The third proportional to 57,152.63 and 85,725.94 is: 128,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,152.63 : 85,725.94 = 85,725.94 : x
  2. Step 2: Convert to fraction form
    57,152.63/85,725.94 = 85,725.94/x
  3. Step 3: Cross multiply
    57,152.63x = 85,725.94 × 85,725.94
  4. Step 4: Simplify right side
    57,152.63x = 7,348,936,360.25
  5. Step 5: Solve for x
    x = 7,348,936,360.25/57,152.63
  6. Step 6: Final answer
    x = 128,584.41

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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.