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Finding the Third Proportional to 70,580 and 146,968

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Solution

The third proportional to 70,580 and 146,968 is: 306,029.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,580 : 146,968 = 146,968 : x
  2. Step 2: Convert to fraction form
    70,580/146,968 = 146,968/x
  3. Step 3: Cross multiply
    70,580x = 146,968 × 146,968
  4. Step 4: Simplify right side
    70,580x = 21,599,593,024
  5. Step 5: Solve for x
    x = 21,599,593,024/70,580
  6. Step 6: Final answer
    x = 306,029.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.