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Finding the Third Proportional to 103,612 and 162,774

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Solution

The third proportional to 103,612 and 162,774 is: 255,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,612 : 162,774 = 162,774 : x
  2. Step 2: Convert to fraction form
    103,612/162,774 = 162,774/x
  3. Step 3: Cross multiply
    103,612x = 162,774 × 162,774
  4. Step 4: Simplify right side
    103,612x = 26,495,375,076
  5. Step 5: Solve for x
    x = 26,495,375,076/103,612
  6. Step 6: Final answer
    x = 255,717.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.