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Finding the Third Proportional to 81,981 and 118,483.50

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Solution

The third proportional to 81,981 and 118,483.50 is: 171,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,981 : 118,483.50 = 118,483.50 : x
  2. Step 2: Convert to fraction form
    81,981/118,483.50 = 118,483.50/x
  3. Step 3: Cross multiply
    81,981x = 118,483.50 × 118,483.50
  4. Step 4: Simplify right side
    81,981x = 14,038,339,772.25
  5. Step 5: Solve for x
    x = 14,038,339,772.25/81,981
  6. Step 6: Final answer
    x = 171,238.94

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.