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Finding the Third Proportional to 67,601 and 105,222

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Solution

The third proportional to 67,601 and 105,222 is: 163,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,601 : 105,222 = 105,222 : x
  2. Step 2: Convert to fraction form
    67,601/105,222 = 105,222/x
  3. Step 3: Cross multiply
    67,601x = 105,222 × 105,222
  4. Step 4: Simplify right side
    67,601x = 11,071,669,284
  5. Step 5: Solve for x
    x = 11,071,669,284/67,601
  6. Step 6: Final answer
    x = 163,779.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.