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Finding the Third Proportional to 57,237.75 and 84,145.50

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Solution

The third proportional to 57,237.75 and 84,145.50 is: 123,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,237.75 : 84,145.50 = 84,145.50 : x
  2. Step 2: Convert to fraction form
    57,237.75/84,145.50 = 84,145.50/x
  3. Step 3: Cross multiply
    57,237.75x = 84,145.50 × 84,145.50
  4. Step 4: Simplify right side
    57,237.75x = 7,080,465,170.25
  5. Step 5: Solve for x
    x = 7,080,465,170.25/57,237.75
  6. Step 6: Final answer
    x = 123,702.72

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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.