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Finding the Third Proportional to 106,023.94 and 139,352.91

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Solution

The third proportional to 106,023.94 and 139,352.91 is: 183,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,023.94 : 139,352.91 = 139,352.91 : x
  2. Step 2: Convert to fraction form
    106,023.94/139,352.91 = 139,352.91/x
  3. Step 3: Cross multiply
    106,023.94x = 139,352.91 × 139,352.91
  4. Step 4: Simplify right side
    106,023.94x = 19,419,232,480.32
  5. Step 5: Solve for x
    x = 19,419,232,480.32/106,023.94
  6. Step 6: Final answer
    x = 183,158.94

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.