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Finding the Third Proportional to 83,006 and 124,594

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Solution

The third proportional to 83,006 and 124,594 is: 187,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,006 : 124,594 = 124,594 : x
  2. Step 2: Convert to fraction form
    83,006/124,594 = 124,594/x
  3. Step 3: Cross multiply
    83,006x = 124,594 × 124,594
  4. Step 4: Simplify right side
    83,006x = 15,523,664,836
  5. Step 5: Solve for x
    x = 15,523,664,836/83,006
  6. Step 6: Final answer
    x = 187,018.59

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