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Finding the Third Proportional to 102,939 and 149,717.50

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Solution

The third proportional to 102,939 and 149,717.50 is: 217,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,939 : 149,717.50 = 149,717.50 : x
  2. Step 2: Convert to fraction form
    102,939/149,717.50 = 149,717.50/x
  3. Step 3: Cross multiply
    102,939x = 149,717.50 × 149,717.50
  4. Step 4: Simplify right side
    102,939x = 22,415,329,806.25
  5. Step 5: Solve for x
    x = 22,415,329,806.25/102,939
  6. Step 6: Final answer
    x = 217,753.52

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.