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Finding the Third Proportional to 109,050 and 164,120

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Solution

The third proportional to 109,050 and 164,120 is: 247,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,050 : 164,120 = 164,120 : x
  2. Step 2: Convert to fraction form
    109,050/164,120 = 164,120/x
  3. Step 3: Cross multiply
    109,050x = 164,120 × 164,120
  4. Step 4: Simplify right side
    109,050x = 26,935,374,400
  5. Step 5: Solve for x
    x = 26,935,374,400/109,050
  6. Step 6: Final answer
    x = 247,000.22

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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.