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Finding the Third Proportional to 103,760 and 162,120

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Solution

The third proportional to 103,760 and 162,120 is: 253,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,760 : 162,120 = 162,120 : x
  2. Step 2: Convert to fraction form
    103,760/162,120 = 162,120/x
  3. Step 3: Cross multiply
    103,760x = 162,120 × 162,120
  4. Step 4: Simplify right side
    103,760x = 26,282,894,400
  5. Step 5: Solve for x
    x = 26,282,894,400/103,760
  6. Step 6: Final answer
    x = 253,304.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.