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Finding the Third Proportional to 30,066 and 64,946

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Solution

The third proportional to 30,066 and 64,946 is: 140,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,066 : 64,946 = 64,946 : x
  2. Step 2: Convert to fraction form
    30,066/64,946 = 64,946/x
  3. Step 3: Cross multiply
    30,066x = 64,946 × 64,946
  4. Step 4: Simplify right side
    30,066x = 4,217,982,916
  5. Step 5: Solve for x
    x = 4,217,982,916/30,066
  6. Step 6: Final answer
    x = 140,290.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.