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Finding the Third Proportional to 46,061 and 95,584

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Solution

The third proportional to 46,061 and 95,584 is: 198,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,061 : 95,584 = 95,584 : x
  2. Step 2: Convert to fraction form
    46,061/95,584 = 95,584/x
  3. Step 3: Cross multiply
    46,061x = 95,584 × 95,584
  4. Step 4: Simplify right side
    46,061x = 9,136,301,056
  5. Step 5: Solve for x
    x = 9,136,301,056/46,061
  6. Step 6: Final answer
    x = 198,352.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.