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Finding the Third Proportional to 34,564 and 83,318

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Solution

The third proportional to 34,564 and 83,318 is: 200,841.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,564 : 83,318 = 83,318 : x
  2. Step 2: Convert to fraction form
    34,564/83,318 = 83,318/x
  3. Step 3: Cross multiply
    34,564x = 83,318 × 83,318
  4. Step 4: Simplify right side
    34,564x = 6,941,889,124
  5. Step 5: Solve for x
    x = 6,941,889,124/34,564
  6. Step 6: Final answer
    x = 200,841.60

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.