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Finding the Third Proportional to 83,551.50 and 173,987.75

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Solution

The third proportional to 83,551.50 and 173,987.75 is: 362,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,551.50 : 173,987.75 = 173,987.75 : x
  2. Step 2: Convert to fraction form
    83,551.50/173,987.75 = 173,987.75/x
  3. Step 3: Cross multiply
    83,551.50x = 173,987.75 × 173,987.75
  4. Step 4: Simplify right side
    83,551.50x = 30,271,737,150.06
  5. Step 5: Solve for x
    x = 30,271,737,150.06/83,551.50
  6. Step 6: Final answer
    x = 362,312.31

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.