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Finding the Third Proportional to 42,256.50 and 89,901

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Solution

The third proportional to 42,256.50 and 89,901 is: 191,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,256.50 : 89,901 = 89,901 : x
  2. Step 2: Convert to fraction form
    42,256.50/89,901 = 89,901/x
  3. Step 3: Cross multiply
    42,256.50x = 89,901 × 89,901
  4. Step 4: Simplify right side
    42,256.50x = 8,082,189,801
  5. Step 5: Solve for x
    x = 8,082,189,801/42,256.50
  6. Step 6: Final answer
    x = 191,265.01

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.