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Finding the Third Proportional to 75,261.94 and 103,203.56

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Solution

The third proportional to 75,261.94 and 103,203.56 is: 141,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,261.94 : 103,203.56 = 103,203.56 : x
  2. Step 2: Convert to fraction form
    75,261.94/103,203.56 = 103,203.56/x
  3. Step 3: Cross multiply
    75,261.94x = 103,203.56 × 103,203.56
  4. Step 4: Simplify right side
    75,261.94x = 10,650,975,312.69
  5. Step 5: Solve for x
    x = 10,650,975,312.69/75,261.94
  6. Step 6: Final answer
    x = 141,518.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.