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Finding the Third Proportional to 105,972 and 230,169

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Solution

The third proportional to 105,972 and 230,169 is: 499,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,972 : 230,169 = 230,169 : x
  2. Step 2: Convert to fraction form
    105,972/230,169 = 230,169/x
  3. Step 3: Cross multiply
    105,972x = 230,169 × 230,169
  4. Step 4: Simplify right side
    105,972x = 52,977,768,561
  5. Step 5: Solve for x
    x = 52,977,768,561/105,972
  6. Step 6: Final answer
    x = 499,922.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.