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Finding the Third Proportional to 109,106 and 160,203

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Solution

The third proportional to 109,106 and 160,203 is: 235,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,106 : 160,203 = 160,203 : x
  2. Step 2: Convert to fraction form
    109,106/160,203 = 160,203/x
  3. Step 3: Cross multiply
    109,106x = 160,203 × 160,203
  4. Step 4: Simplify right side
    109,106x = 25,665,001,209
  5. Step 5: Solve for x
    x = 25,665,001,209/109,106
  6. Step 6: Final answer
    x = 235,229.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.