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Finding the Third Proportional to 71,223 and 110,719.50

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Solution

The third proportional to 71,223 and 110,719.50 is: 172,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,223 : 110,719.50 = 110,719.50 : x
  2. Step 2: Convert to fraction form
    71,223/110,719.50 = 110,719.50/x
  3. Step 3: Cross multiply
    71,223x = 110,719.50 × 110,719.50
  4. Step 4: Simplify right side
    71,223x = 12,258,807,680.25
  5. Step 5: Solve for x
    x = 12,258,807,680.25/71,223
  6. Step 6: Final answer
    x = 172,118.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.