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Finding the Third Proportional to 71,066 and 151,978

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Solution

The third proportional to 71,066 and 151,978 is: 325,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,066 : 151,978 = 151,978 : x
  2. Step 2: Convert to fraction form
    71,066/151,978 = 151,978/x
  3. Step 3: Cross multiply
    71,066x = 151,978 × 151,978
  4. Step 4: Simplify right side
    71,066x = 23,097,312,484
  5. Step 5: Solve for x
    x = 23,097,312,484/71,066
  6. Step 6: Final answer
    x = 325,012.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.