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Finding the Third Proportional to 70,035 and 146,901

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Solution

The third proportional to 70,035 and 146,901 is: 308,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,035 : 146,901 = 146,901 : x
  2. Step 2: Convert to fraction form
    70,035/146,901 = 146,901/x
  3. Step 3: Cross multiply
    70,035x = 146,901 × 146,901
  4. Step 4: Simplify right side
    70,035x = 21,579,903,801
  5. Step 5: Solve for x
    x = 21,579,903,801/70,035
  6. Step 6: Final answer
    x = 308,130.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.