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Finding the Third Proportional to 74,898 and 160,020

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Solution

The third proportional to 74,898 and 160,020 is: 341,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,898 : 160,020 = 160,020 : x
  2. Step 2: Convert to fraction form
    74,898/160,020 = 160,020/x
  3. Step 3: Cross multiply
    74,898x = 160,020 × 160,020
  4. Step 4: Simplify right side
    74,898x = 25,606,400,400
  5. Step 5: Solve for x
    x = 25,606,400,400/74,898
  6. Step 6: Final answer
    x = 341,883.63

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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.