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Finding the Third Proportional to 103,812 and 160,389

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Solution

The third proportional to 103,812 and 160,389 is: 247,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,812 : 160,389 = 160,389 : x
  2. Step 2: Convert to fraction form
    103,812/160,389 = 160,389/x
  3. Step 3: Cross multiply
    103,812x = 160,389 × 160,389
  4. Step 4: Simplify right side
    103,812x = 25,724,631,321
  5. Step 5: Solve for x
    x = 25,724,631,321/103,812
  6. Step 6: Final answer
    x = 247,800.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.