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Finding the Third Proportional to 69,375 and 103,783

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Solution

The third proportional to 69,375 and 103,783 is: 155,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,375 : 103,783 = 103,783 : x
  2. Step 2: Convert to fraction form
    69,375/103,783 = 103,783/x
  3. Step 3: Cross multiply
    69,375x = 103,783 × 103,783
  4. Step 4: Simplify right side
    69,375x = 10,770,911,089
  5. Step 5: Solve for x
    x = 10,770,911,089/69,375
  6. Step 6: Final answer
    x = 155,256.38

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