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Finding the Third Proportional to 58,092.19 and 77,410.69

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Solution

The third proportional to 58,092.19 and 77,410.69 is: 103,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,092.19 : 77,410.69 = 77,410.69 : x
  2. Step 2: Convert to fraction form
    58,092.19/77,410.69 = 77,410.69/x
  3. Step 3: Cross multiply
    58,092.19x = 77,410.69 × 77,410.69
  4. Step 4: Simplify right side
    58,092.19x = 5,992,414,539.22
  5. Step 5: Solve for x
    x = 5,992,414,539.22/58,092.19
  6. Step 6: Final answer
    x = 103,153.54

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.