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Finding the Third Proportional to 106,202.25 and 148,487.06

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Solution

The third proportional to 106,202.25 and 148,487.06 is: 207,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,202.25 : 148,487.06 = 148,487.06 : x
  2. Step 2: Convert to fraction form
    106,202.25/148,487.06 = 148,487.06/x
  3. Step 3: Cross multiply
    106,202.25x = 148,487.06 × 148,487.06
  4. Step 4: Simplify right side
    106,202.25x = 22,048,407,729.88
  5. Step 5: Solve for x
    x = 22,048,407,729.88/106,202.25
  6. Step 6: Final answer
    x = 207,607.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.