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Finding the Third Proportional to 125,624 and 179,823

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Solution

The third proportional to 125,624 and 179,823 is: 257,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,624 : 179,823 = 179,823 : x
  2. Step 2: Convert to fraction form
    125,624/179,823 = 179,823/x
  3. Step 3: Cross multiply
    125,624x = 179,823 × 179,823
  4. Step 4: Simplify right side
    125,624x = 32,336,311,329
  5. Step 5: Solve for x
    x = 32,336,311,329/125,624
  6. Step 6: Final answer
    x = 257,405.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.