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Finding the Third Proportional to 109,216 and 163,984

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Solution

The third proportional to 109,216 and 163,984 is: 246,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,216 : 163,984 = 163,984 : x
  2. Step 2: Convert to fraction form
    109,216/163,984 = 163,984/x
  3. Step 3: Cross multiply
    109,216x = 163,984 × 163,984
  4. Step 4: Simplify right side
    109,216x = 26,890,752,256
  5. Step 5: Solve for x
    x = 26,890,752,256/109,216
  6. Step 6: Final answer
    x = 246,216.23

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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.