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Finding the Third Proportional to 105,605 and 162,103

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Solution

The third proportional to 105,605 and 162,103 is: 248,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,605 : 162,103 = 162,103 : x
  2. Step 2: Convert to fraction form
    105,605/162,103 = 162,103/x
  3. Step 3: Cross multiply
    105,605x = 162,103 × 162,103
  4. Step 4: Simplify right side
    105,605x = 26,277,382,609
  5. Step 5: Solve for x
    x = 26,277,382,609/105,605
  6. Step 6: Final answer
    x = 248,827.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.