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Finding the Third Proportional to 45,434 and 68,971

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Solution

The third proportional to 45,434 and 68,971 is: 104,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,434 : 68,971 = 68,971 : x
  2. Step 2: Convert to fraction form
    45,434/68,971 = 68,971/x
  3. Step 3: Cross multiply
    45,434x = 68,971 × 68,971
  4. Step 4: Simplify right side
    45,434x = 4,756,998,841
  5. Step 5: Solve for x
    x = 4,756,998,841/45,434
  6. Step 6: Final answer
    x = 104,701.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.