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Finding the Third Proportional to 70,004 and 106,301

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Solution

The third proportional to 70,004 and 106,301 is: 161,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,004 : 106,301 = 106,301 : x
  2. Step 2: Convert to fraction form
    70,004/106,301 = 106,301/x
  3. Step 3: Cross multiply
    70,004x = 106,301 × 106,301
  4. Step 4: Simplify right side
    70,004x = 11,299,902,601
  5. Step 5: Solve for x
    x = 11,299,902,601/70,004
  6. Step 6: Final answer
    x = 161,417.96

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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.