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Finding the Third Proportional to 30,194 and 65,575

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Solution

The third proportional to 30,194 and 65,575 is: 142,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194 : 65,575 = 65,575 : x
  2. Step 2: Convert to fraction form
    30,194/65,575 = 65,575/x
  3. Step 3: Cross multiply
    30,194x = 65,575 × 65,575
  4. Step 4: Simplify right side
    30,194x = 4,300,080,625
  5. Step 5: Solve for x
    x = 4,300,080,625/30,194
  6. Step 6: Final answer
    x = 142,415.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.