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Finding the Third Proportional to 109,561 and 163,904

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Solution

The third proportional to 109,561 and 163,904 is: 245,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,561 : 163,904 = 163,904 : x
  2. Step 2: Convert to fraction form
    109,561/163,904 = 163,904/x
  3. Step 3: Cross multiply
    109,561x = 163,904 × 163,904
  4. Step 4: Simplify right side
    109,561x = 26,864,521,216
  5. Step 5: Solve for x
    x = 26,864,521,216/109,561
  6. Step 6: Final answer
    x = 245,201.50

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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.