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Finding the Third Proportional to 50,090 and 118,457

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Solution

The third proportional to 50,090 and 118,457 is: 280,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,090 : 118,457 = 118,457 : x
  2. Step 2: Convert to fraction form
    50,090/118,457 = 118,457/x
  3. Step 3: Cross multiply
    50,090x = 118,457 × 118,457
  4. Step 4: Simplify right side
    50,090x = 14,032,060,849
  5. Step 5: Solve for x
    x = 14,032,060,849/50,090
  6. Step 6: Final answer
    x = 280,136.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.