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Finding the Third Proportional to 70,909 and 104,962

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Solution

The third proportional to 70,909 and 104,962 is: 155,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,909 : 104,962 = 104,962 : x
  2. Step 2: Convert to fraction form
    70,909/104,962 = 104,962/x
  3. Step 3: Cross multiply
    70,909x = 104,962 × 104,962
  4. Step 4: Simplify right side
    70,909x = 11,017,021,444
  5. Step 5: Solve for x
    x = 11,017,021,444/70,909
  6. Step 6: Final answer
    x = 155,368.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.