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Finding the Third Proportional to 70,031 and 146,893

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Solution

The third proportional to 70,031 and 146,893 is: 308,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,031 : 146,893 = 146,893 : x
  2. Step 2: Convert to fraction form
    70,031/146,893 = 146,893/x
  3. Step 3: Cross multiply
    70,031x = 146,893 × 146,893
  4. Step 4: Simplify right side
    70,031x = 21,577,553,449
  5. Step 5: Solve for x
    x = 21,577,553,449/70,031
  6. Step 6: Final answer
    x = 308,114.31

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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.