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Finding the Third Proportional to 75,368 and 103,825

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Solution

The third proportional to 75,368 and 103,825 is: 143,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,368 : 103,825 = 103,825 : x
  2. Step 2: Convert to fraction form
    75,368/103,825 = 103,825/x
  3. Step 3: Cross multiply
    75,368x = 103,825 × 103,825
  4. Step 4: Simplify right side
    75,368x = 10,779,630,625
  5. Step 5: Solve for x
    x = 10,779,630,625/75,368
  6. Step 6: Final answer
    x = 143,026.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.