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Finding the Third Proportional to 74,954 and 160,534

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Solution

The third proportional to 74,954 and 160,534 is: 343,826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,954 : 160,534 = 160,534 : x
  2. Step 2: Convert to fraction form
    74,954/160,534 = 160,534/x
  3. Step 3: Cross multiply
    74,954x = 160,534 × 160,534
  4. Step 4: Simplify right side
    74,954x = 25,771,165,156
  5. Step 5: Solve for x
    x = 25,771,165,156/74,954
  6. Step 6: Final answer
    x = 343,826.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.