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Finding the Third Proportional to 76,520 and 118,194

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Solution

The third proportional to 76,520 and 118,194 is: 182,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,520 : 118,194 = 118,194 : x
  2. Step 2: Convert to fraction form
    76,520/118,194 = 118,194/x
  3. Step 3: Cross multiply
    76,520x = 118,194 × 118,194
  4. Step 4: Simplify right side
    76,520x = 13,969,821,636
  5. Step 5: Solve for x
    x = 13,969,821,636/76,520
  6. Step 6: Final answer
    x = 182,564.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.