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Finding the Third Proportional to 80,762 and 123,969

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Solution

The third proportional to 80,762 and 123,969 is: 190,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,762 : 123,969 = 123,969 : x
  2. Step 2: Convert to fraction form
    80,762/123,969 = 123,969/x
  3. Step 3: Cross multiply
    80,762x = 123,969 × 123,969
  4. Step 4: Simplify right side
    80,762x = 15,368,312,961
  5. Step 5: Solve for x
    x = 15,368,312,961/80,762
  6. Step 6: Final answer
    x = 190,291.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.