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Finding the Third Proportional to 70,378.88 and 106,175.81

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Solution

The third proportional to 70,378.88 and 106,175.81 is: 160,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,378.88 : 106,175.81 = 106,175.81 : x
  2. Step 2: Convert to fraction form
    70,378.88/106,175.81 = 106,175.81/x
  3. Step 3: Cross multiply
    70,378.88x = 106,175.81 × 106,175.81
  4. Step 4: Simplify right side
    70,378.88x = 11,273,303,160.04
  5. Step 5: Solve for x
    x = 11,273,303,160.04/70,378.88
  6. Step 6: Final answer
    x = 160,180.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.