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Finding the Third Proportional to 102,869 and 160,318

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Solution

The third proportional to 102,869 and 160,318 is: 249,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,869 : 160,318 = 160,318 : x
  2. Step 2: Convert to fraction form
    102,869/160,318 = 160,318/x
  3. Step 3: Cross multiply
    102,869x = 160,318 × 160,318
  4. Step 4: Simplify right side
    102,869x = 25,701,861,124
  5. Step 5: Solve for x
    x = 25,701,861,124/102,869
  6. Step 6: Final answer
    x = 249,850.40

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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.