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Finding the Third Proportional to 60,085.13 and 139,093.13

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Solution

The third proportional to 60,085.13 and 139,093.13 is: 321,991.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,085.13 : 139,093.13 = 139,093.13 : x
  2. Step 2: Convert to fraction form
    60,085.13/139,093.13 = 139,093.13/x
  3. Step 3: Cross multiply
    60,085.13x = 139,093.13 × 139,093.13
  4. Step 4: Simplify right side
    60,085.13x = 19,346,897,422.27
  5. Step 5: Solve for x
    x = 19,346,897,422.27/60,085.13
  6. Step 6: Final answer
    x = 321,991.46

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.