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Finding the Third Proportional to 46,899 and 67,182

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Solution

The third proportional to 46,899 and 67,182 is: 96,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,899 : 67,182 = 67,182 : x
  2. Step 2: Convert to fraction form
    46,899/67,182 = 67,182/x
  3. Step 3: Cross multiply
    46,899x = 67,182 × 67,182
  4. Step 4: Simplify right side
    46,899x = 4,513,421,124
  5. Step 5: Solve for x
    x = 4,513,421,124/46,899
  6. Step 6: Final answer
    x = 96,237.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.