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Finding the Third Proportional to 46,182 and 74,376

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Solution

The third proportional to 46,182 and 74,376 is: 119,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,182 : 74,376 = 74,376 : x
  2. Step 2: Convert to fraction form
    46,182/74,376 = 74,376/x
  3. Step 3: Cross multiply
    46,182x = 74,376 × 74,376
  4. Step 4: Simplify right side
    46,182x = 5,531,789,376
  5. Step 5: Solve for x
    x = 5,531,789,376/46,182
  6. Step 6: Final answer
    x = 119,782.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.