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Finding the Third Proportional to 57,240.75 and 84,145.88

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Solution

The third proportional to 57,240.75 and 84,145.88 is: 123,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,240.75 : 84,145.88 = 84,145.88 : x
  2. Step 2: Convert to fraction form
    57,240.75/84,145.88 = 84,145.88/x
  3. Step 3: Cross multiply
    57,240.75x = 84,145.88 × 84,145.88
  4. Step 4: Simplify right side
    57,240.75x = 7,080,528,279.52
  5. Step 5: Solve for x
    x = 7,080,528,279.52/57,240.75
  6. Step 6: Final answer
    x = 123,697.34

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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.