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Finding the Third Proportional to 77,105.25 and 115,018

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Solution

The third proportional to 77,105.25 and 115,018 is: 171,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,105.25 : 115,018 = 115,018 : x
  2. Step 2: Convert to fraction form
    77,105.25/115,018 = 115,018/x
  3. Step 3: Cross multiply
    77,105.25x = 115,018 × 115,018
  4. Step 4: Simplify right side
    77,105.25x = 13,229,140,324
  5. Step 5: Solve for x
    x = 13,229,140,324/77,105.25
  6. Step 6: Final answer
    x = 171,572.50

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.