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Finding the Third Proportional to 81,342 and 190,035

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Solution

The third proportional to 81,342 and 190,035 is: 443,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,342 : 190,035 = 190,035 : x
  2. Step 2: Convert to fraction form
    81,342/190,035 = 190,035/x
  3. Step 3: Cross multiply
    81,342x = 190,035 × 190,035
  4. Step 4: Simplify right side
    81,342x = 36,113,301,225
  5. Step 5: Solve for x
    x = 36,113,301,225/81,342
  6. Step 6: Final answer
    x = 443,968.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.