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Finding the Third Proportional to 35,069 and 75,970

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Solution

The third proportional to 35,069 and 75,970 is: 164,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,069 : 75,970 = 75,970 : x
  2. Step 2: Convert to fraction form
    35,069/75,970 = 75,970/x
  3. Step 3: Cross multiply
    35,069x = 75,970 × 75,970
  4. Step 4: Simplify right side
    35,069x = 5,771,440,900
  5. Step 5: Solve for x
    x = 5,771,440,900/35,069
  6. Step 6: Final answer
    x = 164,573.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.