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Finding the Third Proportional to 124,968 and 178,101

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Solution

The third proportional to 124,968 and 178,101 is: 253,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,968 : 178,101 = 178,101 : x
  2. Step 2: Convert to fraction form
    124,968/178,101 = 178,101/x
  3. Step 3: Cross multiply
    124,968x = 178,101 × 178,101
  4. Step 4: Simplify right side
    124,968x = 31,719,966,201
  5. Step 5: Solve for x
    x = 31,719,966,201/124,968
  6. Step 6: Final answer
    x = 253,824.71

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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.