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Finding the Third Proportional to 106,421 and 160,413

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Solution

The third proportional to 106,421 and 160,413 is: 241,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,421 : 160,413 = 160,413 : x
  2. Step 2: Convert to fraction form
    106,421/160,413 = 160,413/x
  3. Step 3: Cross multiply
    106,421x = 160,413 × 160,413
  4. Step 4: Simplify right side
    106,421x = 25,732,330,569
  5. Step 5: Solve for x
    x = 25,732,330,569/106,421
  6. Step 6: Final answer
    x = 241,797.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.