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Finding the Third Proportional to 76,595 and 110,320.50

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Solution

The third proportional to 76,595 and 110,320.50 is: 158,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,595 : 110,320.50 = 110,320.50 : x
  2. Step 2: Convert to fraction form
    76,595/110,320.50 = 110,320.50/x
  3. Step 3: Cross multiply
    76,595x = 110,320.50 × 110,320.50
  4. Step 4: Simplify right side
    76,595x = 12,170,612,720.25
  5. Step 5: Solve for x
    x = 12,170,612,720.25/76,595
  6. Step 6: Final answer
    x = 158,895.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.