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Finding the Third Proportional to 83,402 and 125,826

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Solution

The third proportional to 83,402 and 125,826 is: 189,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,402 : 125,826 = 125,826 : x
  2. Step 2: Convert to fraction form
    83,402/125,826 = 125,826/x
  3. Step 3: Cross multiply
    83,402x = 125,826 × 125,826
  4. Step 4: Simplify right side
    83,402x = 15,832,182,276
  5. Step 5: Solve for x
    x = 15,832,182,276/83,402
  6. Step 6: Final answer
    x = 189,829.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.