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Finding the Third Proportional to 70,384 and 111,444

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Solution

The third proportional to 70,384 and 111,444 is: 176,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,384 : 111,444 = 111,444 : x
  2. Step 2: Convert to fraction form
    70,384/111,444 = 111,444/x
  3. Step 3: Cross multiply
    70,384x = 111,444 × 111,444
  4. Step 4: Simplify right side
    70,384x = 12,419,765,136
  5. Step 5: Solve for x
    x = 12,419,765,136/70,384
  6. Step 6: Final answer
    x = 176,457.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.