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Finding the Third Proportional to 117,534 and 254,751

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Solution

The third proportional to 117,534 and 254,751 is: 552,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,534 : 254,751 = 254,751 : x
  2. Step 2: Convert to fraction form
    117,534/254,751 = 254,751/x
  3. Step 3: Cross multiply
    117,534x = 254,751 × 254,751
  4. Step 4: Simplify right side
    117,534x = 64,898,072,001
  5. Step 5: Solve for x
    x = 64,898,072,001/117,534
  6. Step 6: Final answer
    x = 552,164.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.