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Finding the Third Proportional to 53,464.50 and 116,035.50

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Solution

The third proportional to 53,464.50 and 116,035.50 is: 251,835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,464.50 : 116,035.50 = 116,035.50 : x
  2. Step 2: Convert to fraction form
    53,464.50/116,035.50 = 116,035.50/x
  3. Step 3: Cross multiply
    53,464.50x = 116,035.50 × 116,035.50
  4. Step 4: Simplify right side
    53,464.50x = 13,464,237,260.25
  5. Step 5: Solve for x
    x = 13,464,237,260.25/53,464.50
  6. Step 6: Final answer
    x = 251,835.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.