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Finding the Third Proportional to 69,610 and 104,723

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Solution

The third proportional to 69,610 and 104,723 is: 157,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,610 : 104,723 = 104,723 : x
  2. Step 2: Convert to fraction form
    69,610/104,723 = 104,723/x
  3. Step 3: Cross multiply
    69,610x = 104,723 × 104,723
  4. Step 4: Simplify right side
    69,610x = 10,966,906,729
  5. Step 5: Solve for x
    x = 10,966,906,729/69,610
  6. Step 6: Final answer
    x = 157,547.86

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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.