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Finding the Third Proportional to 52,507 and 115,220.75

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Solution

The third proportional to 52,507 and 115,220.75 is: 252,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,507 : 115,220.75 = 115,220.75 : x
  2. Step 2: Convert to fraction form
    52,507/115,220.75 = 115,220.75/x
  3. Step 3: Cross multiply
    52,507x = 115,220.75 × 115,220.75
  4. Step 4: Simplify right side
    52,507x = 13,275,821,230.56
  5. Step 5: Solve for x
    x = 13,275,821,230.56/52,507
  6. Step 6: Final answer
    x = 252,839.07

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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.