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Finding the Third Proportional to 52,317.75 and 114,415.50

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Solution

The third proportional to 52,317.75 and 114,415.50 is: 250,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,317.75 : 114,415.50 = 114,415.50 : x
  2. Step 2: Convert to fraction form
    52,317.75/114,415.50 = 114,415.50/x
  3. Step 3: Cross multiply
    52,317.75x = 114,415.50 × 114,415.50
  4. Step 4: Simplify right side
    52,317.75x = 13,090,906,640.25
  5. Step 5: Solve for x
    x = 13,090,906,640.25/52,317.75
  6. Step 6: Final answer
    x = 250,219.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.