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Finding the Third Proportional to 52,727.75 and 113,457

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Solution

The third proportional to 52,727.75 and 113,457 is: 244,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,727.75 : 113,457 = 113,457 : x
  2. Step 2: Convert to fraction form
    52,727.75/113,457 = 113,457/x
  3. Step 3: Cross multiply
    52,727.75x = 113,457 × 113,457
  4. Step 4: Simplify right side
    52,727.75x = 12,872,490,849
  5. Step 5: Solve for x
    x = 12,872,490,849/52,727.75
  6. Step 6: Final answer
    x = 244,131.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.