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Finding the Third Proportional to 81,231 and 118,678.50

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Solution

The third proportional to 81,231 and 118,678.50 is: 173,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,231 : 118,678.50 = 118,678.50 : x
  2. Step 2: Convert to fraction form
    81,231/118,678.50 = 118,678.50/x
  3. Step 3: Cross multiply
    81,231x = 118,678.50 × 118,678.50
  4. Step 4: Simplify right side
    81,231x = 14,084,586,362.25
  5. Step 5: Solve for x
    x = 14,084,586,362.25/81,231
  6. Step 6: Final answer
    x = 173,389.30

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.