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Finding the Third Proportional to 68,030 and 105,598

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Solution

The third proportional to 68,030 and 105,598 is: 163,912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,030 : 105,598 = 105,598 : x
  2. Step 2: Convert to fraction form
    68,030/105,598 = 105,598/x
  3. Step 3: Cross multiply
    68,030x = 105,598 × 105,598
  4. Step 4: Simplify right side
    68,030x = 11,150,937,604
  5. Step 5: Solve for x
    x = 11,150,937,604/68,030
  6. Step 6: Final answer
    x = 163,912.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.