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Finding the Third Proportional to 57,102.75 and 83,787.75

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Solution

The third proportional to 57,102.75 and 83,787.75 is: 122,943.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.75 : 83,787.75 = 83,787.75 : x
  2. Step 2: Convert to fraction form
    57,102.75/83,787.75 = 83,787.75/x
  3. Step 3: Cross multiply
    57,102.75x = 83,787.75 × 83,787.75
  4. Step 4: Simplify right side
    57,102.75x = 7,020,387,050.06
  5. Step 5: Solve for x
    x = 7,020,387,050.06/57,102.75
  6. Step 6: Final answer
    x = 122,943.06

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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.