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Finding the Third Proportional to 70,285 and 112,413

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Solution

The third proportional to 70,285 and 112,413 is: 179,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,285 : 112,413 = 112,413 : x
  2. Step 2: Convert to fraction form
    70,285/112,413 = 112,413/x
  3. Step 3: Cross multiply
    70,285x = 112,413 × 112,413
  4. Step 4: Simplify right side
    70,285x = 12,636,682,569
  5. Step 5: Solve for x
    x = 12,636,682,569/70,285
  6. Step 6: Final answer
    x = 179,792.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.