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Finding the Third Proportional to 46,678 and 74,238

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Solution

The third proportional to 46,678 and 74,238 is: 118,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,678 : 74,238 = 74,238 : x
  2. Step 2: Convert to fraction form
    46,678/74,238 = 74,238/x
  3. Step 3: Cross multiply
    46,678x = 74,238 × 74,238
  4. Step 4: Simplify right side
    46,678x = 5,511,280,644
  5. Step 5: Solve for x
    x = 5,511,280,644/46,678
  6. Step 6: Final answer
    x = 118,070.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.