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Finding the Third Proportional to 94,954 and 150,359

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Solution

The third proportional to 94,954 and 150,359 is: 238,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,954 : 150,359 = 150,359 : x
  2. Step 2: Convert to fraction form
    94,954/150,359 = 150,359/x
  3. Step 3: Cross multiply
    94,954x = 150,359 × 150,359
  4. Step 4: Simplify right side
    94,954x = 22,607,828,881
  5. Step 5: Solve for x
    x = 22,607,828,881/94,954
  6. Step 6: Final answer
    x = 238,092.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.