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Finding the Third Proportional to 96,740.06 and 146,573.06

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Solution

The third proportional to 96,740.06 and 146,573.06 is: 222,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,740.06 : 146,573.06 = 146,573.06 : x
  2. Step 2: Convert to fraction form
    96,740.06/146,573.06 = 146,573.06/x
  3. Step 3: Cross multiply
    96,740.06x = 146,573.06 × 146,573.06
  4. Step 4: Simplify right side
    96,740.06x = 21,483,662,650.63
  5. Step 5: Solve for x
    x = 21,483,662,650.63/96,740.06
  6. Step 6: Final answer
    x = 222,076.17

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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.