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Finding the Third Proportional to 52,878 and 115,224

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Solution

The third proportional to 52,878 and 115,224 is: 251,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878 : 115,224 = 115,224 : x
  2. Step 2: Convert to fraction form
    52,878/115,224 = 115,224/x
  3. Step 3: Cross multiply
    52,878x = 115,224 × 115,224
  4. Step 4: Simplify right side
    52,878x = 13,276,570,176
  5. Step 5: Solve for x
    x = 13,276,570,176/52,878
  6. Step 6: Final answer
    x = 251,079.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.