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Finding the Third Proportional to 71,176 and 104,716

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Solution

The third proportional to 71,176 and 104,716 is: 154,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,176 : 104,716 = 104,716 : x
  2. Step 2: Convert to fraction form
    71,176/104,716 = 104,716/x
  3. Step 3: Cross multiply
    71,176x = 104,716 × 104,716
  4. Step 4: Simplify right side
    71,176x = 10,965,440,656
  5. Step 5: Solve for x
    x = 10,965,440,656/71,176
  6. Step 6: Final answer
    x = 154,060.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.