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Finding the Third Proportional to 70,189 and 110,294

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Solution

The third proportional to 70,189 and 110,294 is: 173,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,189 : 110,294 = 110,294 : x
  2. Step 2: Convert to fraction form
    70,189/110,294 = 110,294/x
  3. Step 3: Cross multiply
    70,189x = 110,294 × 110,294
  4. Step 4: Simplify right side
    70,189x = 12,164,766,436
  5. Step 5: Solve for x
    x = 12,164,766,436/70,189
  6. Step 6: Final answer
    x = 173,314.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.