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Finding the Third Proportional to 96,665.50 and 147,887

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Solution

The third proportional to 96,665.50 and 147,887 is: 226,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,665.50 : 147,887 = 147,887 : x
  2. Step 2: Convert to fraction form
    96,665.50/147,887 = 147,887/x
  3. Step 3: Cross multiply
    96,665.50x = 147,887 × 147,887
  4. Step 4: Simplify right side
    96,665.50x = 21,870,564,769
  5. Step 5: Solve for x
    x = 21,870,564,769/96,665.50
  6. Step 6: Final answer
    x = 226,249.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.