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Finding the Third Proportional to 109,397 and 163,913

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Solution

The third proportional to 109,397 and 163,913 is: 245,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,397 : 163,913 = 163,913 : x
  2. Step 2: Convert to fraction form
    109,397/163,913 = 163,913/x
  3. Step 3: Cross multiply
    109,397x = 163,913 × 163,913
  4. Step 4: Simplify right side
    109,397x = 26,867,471,569
  5. Step 5: Solve for x
    x = 26,867,471,569/109,397
  6. Step 6: Final answer
    x = 245,596.05

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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.