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Finding the Third Proportional to 109,572 and 164,115

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Solution

The third proportional to 109,572 and 164,115 is: 245,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,572 : 164,115 = 164,115 : x
  2. Step 2: Convert to fraction form
    109,572/164,115 = 164,115/x
  3. Step 3: Cross multiply
    109,572x = 164,115 × 164,115
  4. Step 4: Simplify right side
    109,572x = 26,933,733,225
  5. Step 5: Solve for x
    x = 26,933,733,225/109,572
  6. Step 6: Final answer
    x = 245,808.54

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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.