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Finding the Third Proportional to 106,672.50 and 233,028

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Solution

The third proportional to 106,672.50 and 233,028 is: 509,053.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,672.50 : 233,028 = 233,028 : x
  2. Step 2: Convert to fraction form
    106,672.50/233,028 = 233,028/x
  3. Step 3: Cross multiply
    106,672.50x = 233,028 × 233,028
  4. Step 4: Simplify right side
    106,672.50x = 54,302,048,784
  5. Step 5: Solve for x
    x = 54,302,048,784/106,672.50
  6. Step 6: Final answer
    x = 509,053.87

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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.