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Finding the Third Proportional to 71,763.75 and 105,569.44

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Solution

The third proportional to 71,763.75 and 105,569.44 is: 155,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,763.75 : 105,569.44 = 105,569.44 : x
  2. Step 2: Convert to fraction form
    71,763.75/105,569.44 = 105,569.44/x
  3. Step 3: Cross multiply
    71,763.75x = 105,569.44 × 105,569.44
  4. Step 4: Simplify right side
    71,763.75x = 11,144,906,134.07
  5. Step 5: Solve for x
    x = 11,144,906,134.07/71,763.75
  6. Step 6: Final answer
    x = 155,299.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.