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Finding the Third Proportional to 68,010 and 105,048

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Solution

The third proportional to 68,010 and 105,048 is: 162,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,010 : 105,048 = 105,048 : x
  2. Step 2: Convert to fraction form
    68,010/105,048 = 105,048/x
  3. Step 3: Cross multiply
    68,010x = 105,048 × 105,048
  4. Step 4: Simplify right side
    68,010x = 11,035,082,304
  5. Step 5: Solve for x
    x = 11,035,082,304/68,010
  6. Step 6: Final answer
    x = 162,256.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.