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Finding the Third Proportional to 117,534 and 247,164

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Solution

The third proportional to 117,534 and 247,164 is: 519,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,534 : 247,164 = 247,164 : x
  2. Step 2: Convert to fraction form
    117,534/247,164 = 247,164/x
  3. Step 3: Cross multiply
    117,534x = 247,164 × 247,164
  4. Step 4: Simplify right side
    117,534x = 61,090,042,896
  5. Step 5: Solve for x
    x = 61,090,042,896/117,534
  6. Step 6: Final answer
    x = 519,764.86

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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.