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Finding the Third Proportional to 56,704 and 83,415

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Solution

The third proportional to 56,704 and 83,415 is: 122,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,704 : 83,415 = 83,415 : x
  2. Step 2: Convert to fraction form
    56,704/83,415 = 83,415/x
  3. Step 3: Cross multiply
    56,704x = 83,415 × 83,415
  4. Step 4: Simplify right side
    56,704x = 6,958,062,225
  5. Step 5: Solve for x
    x = 6,958,062,225/56,704
  6. Step 6: Final answer
    x = 122,708.49

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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.