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Finding the Third Proportional to 117,468 and 178,956

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Solution

The third proportional to 117,468 and 178,956 is: 272,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,468 : 178,956 = 178,956 : x
  2. Step 2: Convert to fraction form
    117,468/178,956 = 178,956/x
  3. Step 3: Cross multiply
    117,468x = 178,956 × 178,956
  4. Step 4: Simplify right side
    117,468x = 32,025,249,936
  5. Step 5: Solve for x
    x = 32,025,249,936/117,468
  6. Step 6: Final answer
    x = 272,629.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.