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Finding the Third Proportional to 51,740.50 and 113,417

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Solution

The third proportional to 51,740.50 and 113,417 is: 248,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,740.50 : 113,417 = 113,417 : x
  2. Step 2: Convert to fraction form
    51,740.50/113,417 = 113,417/x
  3. Step 3: Cross multiply
    51,740.50x = 113,417 × 113,417
  4. Step 4: Simplify right side
    51,740.50x = 12,863,415,889
  5. Step 5: Solve for x
    x = 12,863,415,889/51,740.50
  6. Step 6: Final answer
    x = 248,614.06

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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.