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Finding the Third Proportional to 54,958.50 and 117,688.50

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Solution

The third proportional to 54,958.50 and 117,688.50 is: 252,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,958.50 : 117,688.50 = 117,688.50 : x
  2. Step 2: Convert to fraction form
    54,958.50/117,688.50 = 117,688.50/x
  3. Step 3: Cross multiply
    54,958.50x = 117,688.50 × 117,688.50
  4. Step 4: Simplify right side
    54,958.50x = 13,850,583,032.25
  5. Step 5: Solve for x
    x = 13,850,583,032.25/54,958.50
  6. Step 6: Final answer
    x = 252,018.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.