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Finding the Third Proportional to 124,942 and 264,374

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Solution

The third proportional to 124,942 and 264,374 is: 559,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,942 : 264,374 = 264,374 : x
  2. Step 2: Convert to fraction form
    124,942/264,374 = 264,374/x
  3. Step 3: Cross multiply
    124,942x = 264,374 × 264,374
  4. Step 4: Simplify right side
    124,942x = 69,893,611,876
  5. Step 5: Solve for x
    x = 69,893,611,876/124,942
  6. Step 6: Final answer
    x = 559,408.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.