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Finding the Third Proportional to 48,249 and 106,314.38

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Solution

The third proportional to 48,249 and 106,314.38 is: 234,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,249 : 106,314.38 = 106,314.38 : x
  2. Step 2: Convert to fraction form
    48,249/106,314.38 = 106,314.38/x
  3. Step 3: Cross multiply
    48,249x = 106,314.38 × 106,314.38
  4. Step 4: Simplify right side
    48,249x = 11,302,746,331.64
  5. Step 5: Solve for x
    x = 11,302,746,331.64/48,249
  6. Step 6: Final answer
    x = 234,258.67

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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.