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Finding the Third Proportional to 94,059 and 138,081

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Solution

The third proportional to 94,059 and 138,081 is: 202,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,059 : 138,081 = 138,081 : x
  2. Step 2: Convert to fraction form
    94,059/138,081 = 138,081/x
  3. Step 3: Cross multiply
    94,059x = 138,081 × 138,081
  4. Step 4: Simplify right side
    94,059x = 19,066,362,561
  5. Step 5: Solve for x
    x = 19,066,362,561/94,059
  6. Step 6: Final answer
    x = 202,706.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.