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Finding the Third Proportional to 50,017.50 and 109,329

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Solution

The third proportional to 50,017.50 and 109,329 is: 238,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,017.50 : 109,329 = 109,329 : x
  2. Step 2: Convert to fraction form
    50,017.50/109,329 = 109,329/x
  3. Step 3: Cross multiply
    50,017.50x = 109,329 × 109,329
  4. Step 4: Simplify right side
    50,017.50x = 11,952,830,241
  5. Step 5: Solve for x
    x = 11,952,830,241/50,017.50
  6. Step 6: Final answer
    x = 238,972.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.