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Finding the Third Proportional to 76,594 and 110,319

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Solution

The third proportional to 76,594 and 110,319 is: 158,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,594 : 110,319 = 110,319 : x
  2. Step 2: Convert to fraction form
    76,594/110,319 = 110,319/x
  3. Step 3: Cross multiply
    76,594x = 110,319 × 110,319
  4. Step 4: Simplify right side
    76,594x = 12,170,281,761
  5. Step 5: Solve for x
    x = 12,170,281,761/76,594
  6. Step 6: Final answer
    x = 158,893.41

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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.