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Finding the Third Proportional to 113,014 and 248,627

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Solution

The third proportional to 113,014 and 248,627 is: 546,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,014 : 248,627 = 248,627 : x
  2. Step 2: Convert to fraction form
    113,014/248,627 = 248,627/x
  3. Step 3: Cross multiply
    113,014x = 248,627 × 248,627
  4. Step 4: Simplify right side
    113,014x = 61,815,385,129
  5. Step 5: Solve for x
    x = 61,815,385,129/113,014
  6. Step 6: Final answer
    x = 546,971.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.