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Finding the Third Proportional to 123,336 and 183,264

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Solution

The third proportional to 123,336 and 183,264 is: 272,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,336 : 183,264 = 183,264 : x
  2. Step 2: Convert to fraction form
    123,336/183,264 = 183,264/x
  3. Step 3: Cross multiply
    123,336x = 183,264 × 183,264
  4. Step 4: Simplify right side
    123,336x = 33,585,693,696
  5. Step 5: Solve for x
    x = 33,585,693,696/123,336
  6. Step 6: Final answer
    x = 272,310.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.