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Finding the Third Proportional to 53,200.75 and 114,241.50

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Solution

The third proportional to 53,200.75 and 114,241.50 is: 245,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,200.75 : 114,241.50 = 114,241.50 : x
  2. Step 2: Convert to fraction form
    53,200.75/114,241.50 = 114,241.50/x
  3. Step 3: Cross multiply
    53,200.75x = 114,241.50 × 114,241.50
  4. Step 4: Simplify right side
    53,200.75x = 13,051,120,322.25
  5. Step 5: Solve for x
    x = 13,051,120,322.25/53,200.75
  6. Step 6: Final answer
    x = 245,318.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.