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Finding the Third Proportional to 46,182 and 74,373

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Solution

The third proportional to 46,182 and 74,373 is: 119,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,182 : 74,373 = 74,373 : x
  2. Step 2: Convert to fraction form
    46,182/74,373 = 74,373/x
  3. Step 3: Cross multiply
    46,182x = 74,373 × 74,373
  4. Step 4: Simplify right side
    46,182x = 5,531,343,129
  5. Step 5: Solve for x
    x = 5,531,343,129/46,182
  6. Step 6: Final answer
    x = 119,772.71

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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.