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Finding the Third Proportional to 57,240 and 83,664

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Solution

The third proportional to 57,240 and 83,664 is: 122,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,240 : 83,664 = 83,664 : x
  2. Step 2: Convert to fraction form
    57,240/83,664 = 83,664/x
  3. Step 3: Cross multiply
    57,240x = 83,664 × 83,664
  4. Step 4: Simplify right side
    57,240x = 6,999,664,896
  5. Step 5: Solve for x
    x = 6,999,664,896/57,240
  6. Step 6: Final answer
    x = 122,286.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.