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Finding the Third Proportional to 109,480 and 164,707

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Solution

The third proportional to 109,480 and 164,707 is: 247,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,480 : 164,707 = 164,707 : x
  2. Step 2: Convert to fraction form
    109,480/164,707 = 164,707/x
  3. Step 3: Cross multiply
    109,480x = 164,707 × 164,707
  4. Step 4: Simplify right side
    109,480x = 27,128,395,849
  5. Step 5: Solve for x
    x = 27,128,395,849/109,480
  6. Step 6: Final answer
    x = 247,793.17

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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.