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Finding the Third Proportional to 114,864 and 172,413

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Solution

The third proportional to 114,864 and 172,413 is: 258,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,864 : 172,413 = 172,413 : x
  2. Step 2: Convert to fraction form
    114,864/172,413 = 172,413/x
  3. Step 3: Cross multiply
    114,864x = 172,413 × 172,413
  4. Step 4: Simplify right side
    114,864x = 29,726,242,569
  5. Step 5: Solve for x
    x = 29,726,242,569/114,864
  6. Step 6: Final answer
    x = 258,795.12

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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.