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Finding the Third Proportional to 94,721 and 146,303

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Solution

The third proportional to 94,721 and 146,303 is: 225,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,721 : 146,303 = 146,303 : x
  2. Step 2: Convert to fraction form
    94,721/146,303 = 146,303/x
  3. Step 3: Cross multiply
    94,721x = 146,303 × 146,303
  4. Step 4: Simplify right side
    94,721x = 21,404,567,809
  5. Step 5: Solve for x
    x = 21,404,567,809/94,721
  6. Step 6: Final answer
    x = 225,974.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.