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Finding the Third Proportional to 42,137.16 and 90,527.63

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Solution

The third proportional to 42,137.16 and 90,527.63 is: 194,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,137.16 : 90,527.63 = 90,527.63 : x
  2. Step 2: Convert to fraction form
    42,137.16/90,527.63 = 90,527.63/x
  3. Step 3: Cross multiply
    42,137.16x = 90,527.63 × 90,527.63
  4. Step 4: Simplify right side
    42,137.16x = 8,195,250,888.14
  5. Step 5: Solve for x
    x = 8,195,250,888.14/42,137.16
  6. Step 6: Final answer
    x = 194,489.89

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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.