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Finding the Third Proportional to 102,003.05 and 139,062.45

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Solution

The third proportional to 102,003.05 and 139,062.45 is: 189,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.05 : 139,062.45 = 139,062.45 : x
  2. Step 2: Convert to fraction form
    102,003.05/139,062.45 = 139,062.45/x
  3. Step 3: Cross multiply
    102,003.05x = 139,062.45 × 139,062.45
  4. Step 4: Simplify right side
    102,003.05x = 19,338,363,696.29
  5. Step 5: Solve for x
    x = 19,338,363,696.29/102,003.05
  6. Step 6: Final answer
    x = 189,586.14

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.