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Finding the Third Proportional to 124,967 and 178,102

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Solution

The third proportional to 124,967 and 178,102 is: 253,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,967 : 178,102 = 178,102 : x
  2. Step 2: Convert to fraction form
    124,967/178,102 = 178,102/x
  3. Step 3: Cross multiply
    124,967x = 178,102 × 178,102
  4. Step 4: Simplify right side
    124,967x = 31,720,322,404
  5. Step 5: Solve for x
    x = 31,720,322,404/124,967
  6. Step 6: Final answer
    x = 253,829.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.