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Finding the Third Proportional to 76,595 and 110,320

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Solution

The third proportional to 76,595 and 110,320 is: 158,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,595 : 110,320 = 110,320 : x
  2. Step 2: Convert to fraction form
    76,595/110,320 = 110,320/x
  3. Step 3: Cross multiply
    76,595x = 110,320 × 110,320
  4. Step 4: Simplify right side
    76,595x = 12,170,502,400
  5. Step 5: Solve for x
    x = 12,170,502,400/76,595
  6. Step 6: Final answer
    x = 158,894.22

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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.