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Finding the Third Proportional to 76,014 and 175,953

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Solution

The third proportional to 76,014 and 175,953 is: 407,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,014 : 175,953 = 175,953 : x
  2. Step 2: Convert to fraction form
    76,014/175,953 = 175,953/x
  3. Step 3: Cross multiply
    76,014x = 175,953 × 175,953
  4. Step 4: Simplify right side
    76,014x = 30,959,458,209
  5. Step 5: Solve for x
    x = 30,959,458,209/76,014
  6. Step 6: Final answer
    x = 407,286.27

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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.