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Finding the Third Proportional to 142,074 and 217,971

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Solution

The third proportional to 142,074 and 217,971 is: 334,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,074 : 217,971 = 217,971 : x
  2. Step 2: Convert to fraction form
    142,074/217,971 = 217,971/x
  3. Step 3: Cross multiply
    142,074x = 217,971 × 217,971
  4. Step 4: Simplify right side
    142,074x = 47,511,356,841
  5. Step 5: Solve for x
    x = 47,511,356,841/142,074
  6. Step 6: Final answer
    x = 334,412.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.