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Finding the Third Proportional to 113,425.75 and 174,104.25

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Solution

The third proportional to 113,425.75 and 174,104.25 is: 267,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,425.75 : 174,104.25 = 174,104.25 : x
  2. Step 2: Convert to fraction form
    113,425.75/174,104.25 = 174,104.25/x
  3. Step 3: Cross multiply
    113,425.75x = 174,104.25 × 174,104.25
  4. Step 4: Simplify right side
    113,425.75x = 30,312,289,868.06
  5. Step 5: Solve for x
    x = 30,312,289,868.06/113,425.75
  6. Step 6: Final answer
    x = 267,243.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.