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Finding the Third Proportional to 68,083 and 99,835.50

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Solution

The third proportional to 68,083 and 99,835.50 is: 146,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,083 : 99,835.50 = 99,835.50 : x
  2. Step 2: Convert to fraction form
    68,083/99,835.50 = 99,835.50/x
  3. Step 3: Cross multiply
    68,083x = 99,835.50 × 99,835.50
  4. Step 4: Simplify right side
    68,083x = 9,967,127,060.25
  5. Step 5: Solve for x
    x = 9,967,127,060.25/68,083
  6. Step 6: Final answer
    x = 146,396.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.