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Finding the Third Proportional to 75,751.88 and 115,200.56

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Solution

The third proportional to 75,751.88 and 115,200.56 is: 175,192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,751.88 : 115,200.56 = 115,200.56 : x
  2. Step 2: Convert to fraction form
    75,751.88/115,200.56 = 115,200.56/x
  3. Step 3: Cross multiply
    75,751.88x = 115,200.56 × 115,200.56
  4. Step 4: Simplify right side
    75,751.88x = 13,271,169,600.32
  5. Step 5: Solve for x
    x = 13,271,169,600.32/75,751.88
  6. Step 6: Final answer
    x = 175,192.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.