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Finding the Third Proportional to 57,360 and 84,345

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Solution

The third proportional to 57,360 and 84,345 is: 124,025.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,360 : 84,345 = 84,345 : x
  2. Step 2: Convert to fraction form
    57,360/84,345 = 84,345/x
  3. Step 3: Cross multiply
    57,360x = 84,345 × 84,345
  4. Step 4: Simplify right side
    57,360x = 7,114,079,025
  5. Step 5: Solve for x
    x = 7,114,079,025/57,360
  6. Step 6: Final answer
    x = 124,025.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.