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Finding the Third Proportional to 122,814 and 195,294

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Solution

The third proportional to 122,814 and 195,294 is: 310,548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,814 : 195,294 = 195,294 : x
  2. Step 2: Convert to fraction form
    122,814/195,294 = 195,294/x
  3. Step 3: Cross multiply
    122,814x = 195,294 × 195,294
  4. Step 4: Simplify right side
    122,814x = 38,139,746,436
  5. Step 5: Solve for x
    x = 38,139,746,436/122,814
  6. Step 6: Final answer
    x = 310,548.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.