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Finding the Third Proportional to 83,564 and 183,664

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Solution

The third proportional to 83,564 and 183,664 is: 403,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,564 : 183,664 = 183,664 : x
  2. Step 2: Convert to fraction form
    83,564/183,664 = 183,664/x
  3. Step 3: Cross multiply
    83,564x = 183,664 × 183,664
  4. Step 4: Simplify right side
    83,564x = 33,732,464,896
  5. Step 5: Solve for x
    x = 33,732,464,896/83,564
  6. Step 6: Final answer
    x = 403,672.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.