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Finding the Third Proportional to 70,011 and 111,348

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Solution

The third proportional to 70,011 and 111,348 is: 177,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,011 : 111,348 = 111,348 : x
  2. Step 2: Convert to fraction form
    70,011/111,348 = 111,348/x
  3. Step 3: Cross multiply
    70,011x = 111,348 × 111,348
  4. Step 4: Simplify right side
    70,011x = 12,398,377,104
  5. Step 5: Solve for x
    x = 12,398,377,104/70,011
  6. Step 6: Final answer
    x = 177,091.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.