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Finding the Third Proportional to 50,429.25 and 109,732.50

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Solution

The third proportional to 50,429.25 and 109,732.50 is: 238,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,429.25 : 109,732.50 = 109,732.50 : x
  2. Step 2: Convert to fraction form
    50,429.25/109,732.50 = 109,732.50/x
  3. Step 3: Cross multiply
    50,429.25x = 109,732.50 × 109,732.50
  4. Step 4: Simplify right side
    50,429.25x = 12,041,221,556.25
  5. Step 5: Solve for x
    x = 12,041,221,556.25/50,429.25
  6. Step 6: Final answer
    x = 238,774.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.