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Finding the Third Proportional to 106,099 and 153,437

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Solution

The third proportional to 106,099 and 153,437 is: 221,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,099 : 153,437 = 153,437 : x
  2. Step 2: Convert to fraction form
    106,099/153,437 = 153,437/x
  3. Step 3: Cross multiply
    106,099x = 153,437 × 153,437
  4. Step 4: Simplify right side
    106,099x = 23,542,912,969
  5. Step 5: Solve for x
    x = 23,542,912,969/106,099
  6. Step 6: Final answer
    x = 221,895.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.