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Finding the Third Proportional to 107,570 and 162,219

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Solution

The third proportional to 107,570 and 162,219 is: 244,631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,570 : 162,219 = 162,219 : x
  2. Step 2: Convert to fraction form
    107,570/162,219 = 162,219/x
  3. Step 3: Cross multiply
    107,570x = 162,219 × 162,219
  4. Step 4: Simplify right side
    107,570x = 26,315,003,961
  5. Step 5: Solve for x
    x = 26,315,003,961/107,570
  6. Step 6: Final answer
    x = 244,631.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.