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Finding the Third Proportional to 69,377 and 103,786

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Solution

The third proportional to 69,377 and 103,786 is: 155,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,377 : 103,786 = 103,786 : x
  2. Step 2: Convert to fraction form
    69,377/103,786 = 103,786/x
  3. Step 3: Cross multiply
    69,377x = 103,786 × 103,786
  4. Step 4: Simplify right side
    69,377x = 10,771,533,796
  5. Step 5: Solve for x
    x = 10,771,533,796/69,377
  6. Step 6: Final answer
    x = 155,260.88

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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.