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Finding the Third Proportional to 74,856 and 160,084

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Solution

The third proportional to 74,856 and 160,084 is: 342,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,856 : 160,084 = 160,084 : x
  2. Step 2: Convert to fraction form
    74,856/160,084 = 160,084/x
  3. Step 3: Cross multiply
    74,856x = 160,084 × 160,084
  4. Step 4: Simplify right side
    74,856x = 25,626,887,056
  5. Step 5: Solve for x
    x = 25,626,887,056/74,856
  6. Step 6: Final answer
    x = 342,349.14

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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.