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Finding the Third Proportional to 102,942 and 154,413

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Solution

The third proportional to 102,942 and 154,413 is: 231,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,942 : 154,413 = 154,413 : x
  2. Step 2: Convert to fraction form
    102,942/154,413 = 154,413/x
  3. Step 3: Cross multiply
    102,942x = 154,413 × 154,413
  4. Step 4: Simplify right side
    102,942x = 23,843,374,569
  5. Step 5: Solve for x
    x = 23,843,374,569/102,942
  6. Step 6: Final answer
    x = 231,619.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.