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Finding the Third Proportional to 125,007 and 198,582

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Solution

The third proportional to 125,007 and 198,582 is: 315,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,007 : 198,582 = 198,582 : x
  2. Step 2: Convert to fraction form
    125,007/198,582 = 198,582/x
  3. Step 3: Cross multiply
    125,007x = 198,582 × 198,582
  4. Step 4: Simplify right side
    125,007x = 39,434,810,724
  5. Step 5: Solve for x
    x = 39,434,810,724/125,007
  6. Step 6: Final answer
    x = 315,460.82

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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.