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Finding the Third Proportional to 69,461 and 103,732

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Solution

The third proportional to 69,461 and 103,732 is: 154,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,461 : 103,732 = 103,732 : x
  2. Step 2: Convert to fraction form
    69,461/103,732 = 103,732/x
  3. Step 3: Cross multiply
    69,461x = 103,732 × 103,732
  4. Step 4: Simplify right side
    69,461x = 10,760,327,824
  5. Step 5: Solve for x
    x = 10,760,327,824/69,461
  6. Step 6: Final answer
    x = 154,911.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.