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Finding the Third Proportional to 71,934.75 and 106,506.56

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Solution

The third proportional to 71,934.75 and 106,506.56 is: 157,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,934.75 : 106,506.56 = 106,506.56 : x
  2. Step 2: Convert to fraction form
    71,934.75/106,506.56 = 106,506.56/x
  3. Step 3: Cross multiply
    71,934.75x = 106,506.56 × 106,506.56
  4. Step 4: Simplify right side
    71,934.75x = 11,343,647,855.57
  5. Step 5: Solve for x
    x = 11,343,647,855.57/71,934.75
  6. Step 6: Final answer
    x = 157,693.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.