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Finding the Third Proportional to 70,288.50 and 146,410.50

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Solution

The third proportional to 70,288.50 and 146,410.50 is: 304,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,288.50 : 146,410.50 = 146,410.50 : x
  2. Step 2: Convert to fraction form
    70,288.50/146,410.50 = 146,410.50/x
  3. Step 3: Cross multiply
    70,288.50x = 146,410.50 × 146,410.50
  4. Step 4: Simplify right side
    70,288.50x = 21,436,034,510.25
  5. Step 5: Solve for x
    x = 21,436,034,510.25/70,288.50
  6. Step 6: Final answer
    x = 304,972.14

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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.