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Finding the Third Proportional to 81,324 and 118,280.25

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Solution

The third proportional to 81,324 and 118,280.25 is: 172,030.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,324 : 118,280.25 = 118,280.25 : x
  2. Step 2: Convert to fraction form
    81,324/118,280.25 = 118,280.25/x
  3. Step 3: Cross multiply
    81,324x = 118,280.25 × 118,280.25
  4. Step 4: Simplify right side
    81,324x = 13,990,217,540.06
  5. Step 5: Solve for x
    x = 13,990,217,540.06/81,324
  6. Step 6: Final answer
    x = 172,030.61

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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.