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Finding the Third Proportional to 50,513 and 75,457

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Solution

The third proportional to 50,513 and 75,457 is: 112,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,513 : 75,457 = 75,457 : x
  2. Step 2: Convert to fraction form
    50,513/75,457 = 75,457/x
  3. Step 3: Cross multiply
    50,513x = 75,457 × 75,457
  4. Step 4: Simplify right side
    50,513x = 5,693,758,849
  5. Step 5: Solve for x
    x = 5,693,758,849/50,513
  6. Step 6: Final answer
    x = 112,718.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.