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Finding the Third Proportional to 75,569.20 and 117,949.92

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Solution

The third proportional to 75,569.20 and 117,949.92 is: 184,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,569.20 : 117,949.92 = 117,949.92 : x
  2. Step 2: Convert to fraction form
    75,569.20/117,949.92 = 117,949.92/x
  3. Step 3: Cross multiply
    75,569.20x = 117,949.92 × 117,949.92
  4. Step 4: Simplify right side
    75,569.20x = 13,912,184,070.32
  5. Step 5: Solve for x
    x = 13,912,184,070.32/75,569.20
  6. Step 6: Final answer
    x = 184,098.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.