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Finding the Third Proportional to 117,536 and 247,168

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Solution

The third proportional to 117,536 and 247,168 is: 519,772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,536 : 247,168 = 247,168 : x
  2. Step 2: Convert to fraction form
    117,536/247,168 = 247,168/x
  3. Step 3: Cross multiply
    117,536x = 247,168 × 247,168
  4. Step 4: Simplify right side
    117,536x = 61,092,020,224
  5. Step 5: Solve for x
    x = 61,092,020,224/117,536
  6. Step 6: Final answer
    x = 519,772.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.