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Finding the Third Proportional to 83,026 and 125,403

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Solution

The third proportional to 83,026 and 125,403 is: 189,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,026 : 125,403 = 125,403 : x
  2. Step 2: Convert to fraction form
    83,026/125,403 = 125,403/x
  3. Step 3: Cross multiply
    83,026x = 125,403 × 125,403
  4. Step 4: Simplify right side
    83,026x = 15,725,912,409
  5. Step 5: Solve for x
    x = 15,725,912,409/83,026
  6. Step 6: Final answer
    x = 189,409.49

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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.