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Finding the Third Proportional to 69,724 and 104,746

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Solution

The third proportional to 69,724 and 104,746 is: 157,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,724 : 104,746 = 104,746 : x
  2. Step 2: Convert to fraction form
    69,724/104,746 = 104,746/x
  3. Step 3: Cross multiply
    69,724x = 104,746 × 104,746
  4. Step 4: Simplify right side
    69,724x = 10,971,724,516
  5. Step 5: Solve for x
    x = 10,971,724,516/69,724
  6. Step 6: Final answer
    x = 157,359.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.