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Finding the Third Proportional to 62,032 and 83,392

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Solution

The third proportional to 62,032 and 83,392 is: 112,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,032 : 83,392 = 83,392 : x
  2. Step 2: Convert to fraction form
    62,032/83,392 = 83,392/x
  3. Step 3: Cross multiply
    62,032x = 83,392 × 83,392
  4. Step 4: Simplify right side
    62,032x = 6,954,225,664
  5. Step 5: Solve for x
    x = 6,954,225,664/62,032
  6. Step 6: Final answer
    x = 112,107.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.