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Finding the Third Proportional to 94,531.50 and 182,135.25

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Solution

The third proportional to 94,531.50 and 182,135.25 is: 350,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,531.50 : 182,135.25 = 182,135.25 : x
  2. Step 2: Convert to fraction form
    94,531.50/182,135.25 = 182,135.25/x
  3. Step 3: Cross multiply
    94,531.50x = 182,135.25 × 182,135.25
  4. Step 4: Simplify right side
    94,531.50x = 33,173,249,292.56
  5. Step 5: Solve for x
    x = 33,173,249,292.56/94,531.50
  6. Step 6: Final answer
    x = 350,922.70

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.