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Finding the Third Proportional to 55,595 and 86,213.50

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Solution

The third proportional to 55,595 and 86,213.50 is: 133,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,595 : 86,213.50 = 86,213.50 : x
  2. Step 2: Convert to fraction form
    55,595/86,213.50 = 86,213.50/x
  3. Step 3: Cross multiply
    55,595x = 86,213.50 × 86,213.50
  4. Step 4: Simplify right side
    55,595x = 7,432,767,582.25
  5. Step 5: Solve for x
    x = 7,432,767,582.25/55,595
  6. Step 6: Final answer
    x = 133,694.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.