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Finding the Third Proportional to 70,574 and 146,956

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Solution

The third proportional to 70,574 and 146,956 is: 306,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,574 : 146,956 = 146,956 : x
  2. Step 2: Convert to fraction form
    70,574/146,956 = 146,956/x
  3. Step 3: Cross multiply
    70,574x = 146,956 × 146,956
  4. Step 4: Simplify right side
    70,574x = 21,596,065,936
  5. Step 5: Solve for x
    x = 21,596,065,936/70,574
  6. Step 6: Final answer
    x = 306,005.98

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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.