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Finding the Third Proportional to 96,762.38 and 146,601.56

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Solution

The third proportional to 96,762.38 and 146,601.56 is: 222,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,762.38 : 146,601.56 = 146,601.56 : x
  2. Step 2: Convert to fraction form
    96,762.38/146,601.56 = 146,601.56/x
  3. Step 3: Cross multiply
    96,762.38x = 146,601.56 × 146,601.56
  4. Step 4: Simplify right side
    96,762.38x = 21,492,018,127.44
  5. Step 5: Solve for x
    x = 21,492,018,127.44/96,762.38
  6. Step 6: Final answer
    x = 222,111.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.