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Finding the Third Proportional to 107,854 and 163,289

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Solution

The third proportional to 107,854 and 163,289 is: 247,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,854 : 163,289 = 163,289 : x
  2. Step 2: Convert to fraction form
    107,854/163,289 = 163,289/x
  3. Step 3: Cross multiply
    107,854x = 163,289 × 163,289
  4. Step 4: Simplify right side
    107,854x = 26,663,297,521
  5. Step 5: Solve for x
    x = 26,663,297,521/107,854
  6. Step 6: Final answer
    x = 247,216.58

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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.