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Finding the Third Proportional to 69,359 and 104,768

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Solution

The third proportional to 69,359 and 104,768 is: 158,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,359 : 104,768 = 104,768 : x
  2. Step 2: Convert to fraction form
    69,359/104,768 = 104,768/x
  3. Step 3: Cross multiply
    69,359x = 104,768 × 104,768
  4. Step 4: Simplify right side
    69,359x = 10,976,333,824
  5. Step 5: Solve for x
    x = 10,976,333,824/69,359
  6. Step 6: Final answer
    x = 158,253.92

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