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Finding the Third Proportional to 69,148 and 104,358

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Solution

The third proportional to 69,148 and 104,358 is: 157,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,148 : 104,358 = 104,358 : x
  2. Step 2: Convert to fraction form
    69,148/104,358 = 104,358/x
  3. Step 3: Cross multiply
    69,148x = 104,358 × 104,358
  4. Step 4: Simplify right side
    69,148x = 10,890,592,164
  5. Step 5: Solve for x
    x = 10,890,592,164/69,148
  6. Step 6: Final answer
    x = 157,496.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.