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Finding the Third Proportional to 70,480 and 109,204

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Solution

The third proportional to 70,480 and 109,204 is: 169,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,480 : 109,204 = 109,204 : x
  2. Step 2: Convert to fraction form
    70,480/109,204 = 109,204/x
  3. Step 3: Cross multiply
    70,480x = 109,204 × 109,204
  4. Step 4: Simplify right side
    70,480x = 11,925,513,616
  5. Step 5: Solve for x
    x = 11,925,513,616/70,480
  6. Step 6: Final answer
    x = 169,204.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.