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Finding the Third Proportional to 105,320 and 251,825

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Solution

The third proportional to 105,320 and 251,825 is: 602,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,320 : 251,825 = 251,825 : x
  2. Step 2: Convert to fraction form
    105,320/251,825 = 251,825/x
  3. Step 3: Cross multiply
    105,320x = 251,825 × 251,825
  4. Step 4: Simplify right side
    105,320x = 63,415,830,625
  5. Step 5: Solve for x
    x = 63,415,830,625/105,320
  6. Step 6: Final answer
    x = 602,125.24

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.