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Finding the Third Proportional to 27,927 and 63,153

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Solution

The third proportional to 27,927 and 63,153 is: 142,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,927 : 63,153 = 63,153 : x
  2. Step 2: Convert to fraction form
    27,927/63,153 = 63,153/x
  3. Step 3: Cross multiply
    27,927x = 63,153 × 63,153
  4. Step 4: Simplify right side
    27,927x = 3,988,301,409
  5. Step 5: Solve for x
    x = 3,988,301,409/27,927
  6. Step 6: Final answer
    x = 142,811.67

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.