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Finding the Third Proportional to 106,413 and 158,697

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Solution

The third proportional to 106,413 and 158,697 is: 236,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,413 : 158,697 = 158,697 : x
  2. Step 2: Convert to fraction form
    106,413/158,697 = 158,697/x
  3. Step 3: Cross multiply
    106,413x = 158,697 × 158,697
  4. Step 4: Simplify right side
    106,413x = 25,184,737,809
  5. Step 5: Solve for x
    x = 25,184,737,809/106,413
  6. Step 6: Final answer
    x = 236,669.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.