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Finding the Third Proportional to 109,660.50 and 239,139

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Solution

The third proportional to 109,660.50 and 239,139 is: 521,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,660.50 : 239,139 = 239,139 : x
  2. Step 2: Convert to fraction form
    109,660.50/239,139 = 239,139/x
  3. Step 3: Cross multiply
    109,660.50x = 239,139 × 239,139
  4. Step 4: Simplify right side
    109,660.50x = 57,187,461,321
  5. Step 5: Solve for x
    x = 57,187,461,321/109,660.50
  6. Step 6: Final answer
    x = 521,495.54

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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.