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Finding the Third Proportional to 83,025 and 124,623

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Solution

The third proportional to 83,025 and 124,623 is: 187,062.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,025 : 124,623 = 124,623 : x
  2. Step 2: Convert to fraction form
    83,025/124,623 = 124,623/x
  3. Step 3: Cross multiply
    83,025x = 124,623 × 124,623
  4. Step 4: Simplify right side
    83,025x = 15,530,892,129
  5. Step 5: Solve for x
    x = 15,530,892,129/83,025
  6. Step 6: Final answer
    x = 187,062.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.