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Finding the Third Proportional to 76,007 and 175,938

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Solution

The third proportional to 76,007 and 175,938 is: 407,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,007 : 175,938 = 175,938 : x
  2. Step 2: Convert to fraction form
    76,007/175,938 = 175,938/x
  3. Step 3: Cross multiply
    76,007x = 175,938 × 175,938
  4. Step 4: Simplify right side
    76,007x = 30,954,179,844
  5. Step 5: Solve for x
    x = 30,954,179,844/76,007
  6. Step 6: Final answer
    x = 407,254.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.