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Finding the Third Proportional to 113,254.14 and 158,745.45

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Solution

The third proportional to 113,254.14 and 158,745.45 is: 222,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,254.14 : 158,745.45 = 158,745.45 : x
  2. Step 2: Convert to fraction form
    113,254.14/158,745.45 = 158,745.45/x
  3. Step 3: Cross multiply
    113,254.14x = 158,745.45 × 158,745.45
  4. Step 4: Simplify right side
    113,254.14x = 25,200,116,407.46
  5. Step 5: Solve for x
    x = 25,200,116,407.46/113,254.14
  6. Step 6: Final answer
    x = 222,509.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.