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Finding the Third Proportional to 68,101 and 105,023.50

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Solution

The third proportional to 68,101 and 105,023.50 is: 161,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,101 : 105,023.50 = 105,023.50 : x
  2. Step 2: Convert to fraction form
    68,101/105,023.50 = 105,023.50/x
  3. Step 3: Cross multiply
    68,101x = 105,023.50 × 105,023.50
  4. Step 4: Simplify right side
    68,101x = 11,029,935,552.25
  5. Step 5: Solve for x
    x = 11,029,935,552.25/68,101
  6. Step 6: Final answer
    x = 161,964.37

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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.