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Finding the Third Proportional to 77,607 and 123,092

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Solution

The third proportional to 77,607 and 123,092 is: 195,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,607 : 123,092 = 123,092 : x
  2. Step 2: Convert to fraction form
    77,607/123,092 = 123,092/x
  3. Step 3: Cross multiply
    77,607x = 123,092 × 123,092
  4. Step 4: Simplify right side
    77,607x = 15,151,640,464
  5. Step 5: Solve for x
    x = 15,151,640,464/77,607
  6. Step 6: Final answer
    x = 195,235.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.