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Finding the Third Proportional to 106,764.75 and 159,904.13

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Solution

The third proportional to 106,764.75 and 159,904.13 is: 239,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,764.75 : 159,904.13 = 159,904.13 : x
  2. Step 2: Convert to fraction form
    106,764.75/159,904.13 = 159,904.13/x
  3. Step 3: Cross multiply
    106,764.75x = 159,904.13 × 159,904.13
  4. Step 4: Simplify right side
    106,764.75x = 25,569,329,192.02
  5. Step 5: Solve for x
    x = 25,569,329,192.02/106,764.75
  6. Step 6: Final answer
    x = 239,492.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.