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Finding the Third Proportional to 94,566 and 146,420

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Solution

The third proportional to 94,566 and 146,420 is: 226,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,566 : 146,420 = 146,420 : x
  2. Step 2: Convert to fraction form
    94,566/146,420 = 146,420/x
  3. Step 3: Cross multiply
    94,566x = 146,420 × 146,420
  4. Step 4: Simplify right side
    94,566x = 21,438,816,400
  5. Step 5: Solve for x
    x = 21,438,816,400/94,566
  6. Step 6: Final answer
    x = 226,707.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.