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Finding the Third Proportional to 52,002 and 83,295

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Solution

The third proportional to 52,002 and 83,295 is: 133,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,002 : 83,295 = 83,295 : x
  2. Step 2: Convert to fraction form
    52,002/83,295 = 83,295/x
  3. Step 3: Cross multiply
    52,002x = 83,295 × 83,295
  4. Step 4: Simplify right side
    52,002x = 6,938,057,025
  5. Step 5: Solve for x
    x = 6,938,057,025/52,002
  6. Step 6: Final answer
    x = 133,419.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.