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Finding the Third Proportional to 83,031 and 171,967.50

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Solution

The third proportional to 83,031 and 171,967.50 is: 356,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,031 : 171,967.50 = 171,967.50 : x
  2. Step 2: Convert to fraction form
    83,031/171,967.50 = 171,967.50/x
  3. Step 3: Cross multiply
    83,031x = 171,967.50 × 171,967.50
  4. Step 4: Simplify right side
    83,031x = 29,572,821,056.25
  5. Step 5: Solve for x
    x = 29,572,821,056.25/83,031
  6. Step 6: Final answer
    x = 356,166.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.