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Finding the Third Proportional to 92,139 and 193,563

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Solution

The third proportional to 92,139 and 193,563 is: 406,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,139 : 193,563 = 193,563 : x
  2. Step 2: Convert to fraction form
    92,139/193,563 = 193,563/x
  3. Step 3: Cross multiply
    92,139x = 193,563 × 193,563
  4. Step 4: Simplify right side
    92,139x = 37,466,634,969
  5. Step 5: Solve for x
    x = 37,466,634,969/92,139
  6. Step 6: Final answer
    x = 406,631.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.