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Finding the Third Proportional to 53,257.50 and 116,700

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Solution

The third proportional to 53,257.50 and 116,700 is: 255,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,257.50 : 116,700 = 116,700 : x
  2. Step 2: Convert to fraction form
    53,257.50/116,700 = 116,700/x
  3. Step 3: Cross multiply
    53,257.50x = 116,700 × 116,700
  4. Step 4: Simplify right side
    53,257.50x = 13,618,890,000
  5. Step 5: Solve for x
    x = 13,618,890,000/53,257.50
  6. Step 6: Final answer
    x = 255,717.79

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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.