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Finding the Third Proportional to 70,370 and 149,890

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Solution

The third proportional to 70,370 and 149,890 is: 319,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,370 : 149,890 = 149,890 : x
  2. Step 2: Convert to fraction form
    70,370/149,890 = 149,890/x
  3. Step 3: Cross multiply
    70,370x = 149,890 × 149,890
  4. Step 4: Simplify right side
    70,370x = 22,467,012,100
  5. Step 5: Solve for x
    x = 22,467,012,100/70,370
  6. Step 6: Final answer
    x = 319,269.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.