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Finding the Third Proportional to 84,762 and 128,002.75

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Solution

The third proportional to 84,762 and 128,002.75 is: 193,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,762 : 128,002.75 = 128,002.75 : x
  2. Step 2: Convert to fraction form
    84,762/128,002.75 = 128,002.75/x
  3. Step 3: Cross multiply
    84,762x = 128,002.75 × 128,002.75
  4. Step 4: Simplify right side
    84,762x = 16,384,704,007.56
  5. Step 5: Solve for x
    x = 16,384,704,007.56/84,762
  6. Step 6: Final answer
    x = 193,302.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.