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Finding the Third Proportional to 51,875 and 113,173

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Solution

The third proportional to 51,875 and 113,173 is: 246,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,875 : 113,173 = 113,173 : x
  2. Step 2: Convert to fraction form
    51,875/113,173 = 113,173/x
  3. Step 3: Cross multiply
    51,875x = 113,173 × 113,173
  4. Step 4: Simplify right side
    51,875x = 12,808,127,929
  5. Step 5: Solve for x
    x = 12,808,127,929/51,875
  6. Step 6: Final answer
    x = 246,903.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.