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Finding the Third Proportional to 113,133.25 and 167,742.88

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Solution

The third proportional to 113,133.25 and 167,742.88 is: 248,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,133.25 : 167,742.88 = 167,742.88 : x
  2. Step 2: Convert to fraction form
    113,133.25/167,742.88 = 167,742.88/x
  3. Step 3: Cross multiply
    113,133.25x = 167,742.88 × 167,742.88
  4. Step 4: Simplify right side
    113,133.25x = 28,137,672,113.27
  5. Step 5: Solve for x
    x = 28,137,672,113.27/113,133.25
  6. Step 6: Final answer
    x = 248,712.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.