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Finding the Third Proportional to 53,871 and 114,552

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Solution

The third proportional to 53,871 and 114,552 is: 243,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,871 : 114,552 = 114,552 : x
  2. Step 2: Convert to fraction form
    53,871/114,552 = 114,552/x
  3. Step 3: Cross multiply
    53,871x = 114,552 × 114,552
  4. Step 4: Simplify right side
    53,871x = 13,122,160,704
  5. Step 5: Solve for x
    x = 13,122,160,704/53,871
  6. Step 6: Final answer
    x = 243,584.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.