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Finding the Third Proportional to 42,112.50 and 90,421.50

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Solution

The third proportional to 42,112.50 and 90,421.50 is: 194,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,112.50 : 90,421.50 = 90,421.50 : x
  2. Step 2: Convert to fraction form
    42,112.50/90,421.50 = 90,421.50/x
  3. Step 3: Cross multiply
    42,112.50x = 90,421.50 × 90,421.50
  4. Step 4: Simplify right side
    42,112.50x = 8,176,047,662.25
  5. Step 5: Solve for x
    x = 8,176,047,662.25/42,112.50
  6. Step 6: Final answer
    x = 194,147.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.