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Finding the Third Proportional to 59,697 and 83,673

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Solution

The third proportional to 59,697 and 83,673 is: 117,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,697 : 83,673 = 83,673 : x
  2. Step 2: Convert to fraction form
    59,697/83,673 = 83,673/x
  3. Step 3: Cross multiply
    59,697x = 83,673 × 83,673
  4. Step 4: Simplify right side
    59,697x = 7,001,170,929
  5. Step 5: Solve for x
    x = 7,001,170,929/59,697
  6. Step 6: Final answer
    x = 117,278.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.