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Finding the Third Proportional to 43,530.75 and 102,235.50

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Solution

The third proportional to 43,530.75 and 102,235.50 is: 240,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,530.75 : 102,235.50 = 102,235.50 : x
  2. Step 2: Convert to fraction form
    43,530.75/102,235.50 = 102,235.50/x
  3. Step 3: Cross multiply
    43,530.75x = 102,235.50 × 102,235.50
  4. Step 4: Simplify right side
    43,530.75x = 10,452,097,460.25
  5. Step 5: Solve for x
    x = 10,452,097,460.25/43,530.75
  6. Step 6: Final answer
    x = 240,108.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.