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Finding the Third Proportional to 57,904 and 91,763

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Solution

The third proportional to 57,904 and 91,763 is: 145,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,904 : 91,763 = 91,763 : x
  2. Step 2: Convert to fraction form
    57,904/91,763 = 91,763/x
  3. Step 3: Cross multiply
    57,904x = 91,763 × 91,763
  4. Step 4: Simplify right side
    57,904x = 8,420,448,169
  5. Step 5: Solve for x
    x = 8,420,448,169/57,904
  6. Step 6: Final answer
    x = 145,420.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.