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Finding the Third Proportional to 175,045 and 193,091

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Solution

The third proportional to 175,045 and 193,091 is: 212,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,045 : 193,091 = 193,091 : x
  2. Step 2: Convert to fraction form
    175,045/193,091 = 193,091/x
  3. Step 3: Cross multiply
    175,045x = 193,091 × 193,091
  4. Step 4: Simplify right side
    175,045x = 37,284,134,281
  5. Step 5: Solve for x
    x = 37,284,134,281/175,045
  6. Step 6: Final answer
    x = 212,997.43

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.