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Finding the Third Proportional to 53,614 and 113,276

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Solution

The third proportional to 53,614 and 113,276 is: 239,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,614 : 113,276 = 113,276 : x
  2. Step 2: Convert to fraction form
    53,614/113,276 = 113,276/x
  3. Step 3: Cross multiply
    53,614x = 113,276 × 113,276
  4. Step 4: Simplify right side
    53,614x = 12,831,452,176
  5. Step 5: Solve for x
    x = 12,831,452,176/53,614
  6. Step 6: Final answer
    x = 239,330.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.