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Finding the Third Proportional to 42,909.75 and 100,237.50

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Solution

The third proportional to 42,909.75 and 100,237.50 is: 234,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,909.75 : 100,237.50 = 100,237.50 : x
  2. Step 2: Convert to fraction form
    42,909.75/100,237.50 = 100,237.50/x
  3. Step 3: Cross multiply
    42,909.75x = 100,237.50 × 100,237.50
  4. Step 4: Simplify right side
    42,909.75x = 10,047,556,406.25
  5. Step 5: Solve for x
    x = 10,047,556,406.25/42,909.75
  6. Step 6: Final answer
    x = 234,155.56

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.