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Finding the Third Proportional to 94,334 and 128,181

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Solution

The third proportional to 94,334 and 128,181 is: 174,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,334 : 128,181 = 128,181 : x
  2. Step 2: Convert to fraction form
    94,334/128,181 = 128,181/x
  3. Step 3: Cross multiply
    94,334x = 128,181 × 128,181
  4. Step 4: Simplify right side
    94,334x = 16,430,368,761
  5. Step 5: Solve for x
    x = 16,430,368,761/94,334
  6. Step 6: Final answer
    x = 174,172.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.