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Finding the Third Proportional to 53,696 and 126,348

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Solution

The third proportional to 53,696 and 126,348 is: 297,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,696 : 126,348 = 126,348 : x
  2. Step 2: Convert to fraction form
    53,696/126,348 = 126,348/x
  3. Step 3: Cross multiply
    53,696x = 126,348 × 126,348
  4. Step 4: Simplify right side
    53,696x = 15,963,817,104
  5. Step 5: Solve for x
    x = 15,963,817,104/53,696
  6. Step 6: Final answer
    x = 297,299.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.