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Finding the Third Proportional to 125,518 and 175,563

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Solution

The third proportional to 125,518 and 175,563 is: 245,561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,518 : 175,563 = 175,563 : x
  2. Step 2: Convert to fraction form
    125,518/175,563 = 175,563/x
  3. Step 3: Cross multiply
    125,518x = 175,563 × 175,563
  4. Step 4: Simplify right side
    125,518x = 30,822,366,969
  5. Step 5: Solve for x
    x = 30,822,366,969/125,518
  6. Step 6: Final answer
    x = 245,561.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.