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Finding the Third Proportional to 122,854 and 195,582

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Solution

The third proportional to 122,854 and 195,582 is: 311,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,854 : 195,582 = 195,582 : x
  2. Step 2: Convert to fraction form
    122,854/195,582 = 195,582/x
  3. Step 3: Cross multiply
    122,854x = 195,582 × 195,582
  4. Step 4: Simplify right side
    122,854x = 38,252,318,724
  5. Step 5: Solve for x
    x = 38,252,318,724/122,854
  6. Step 6: Final answer
    x = 311,364.05

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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.