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Finding the Third Proportional to 76,754 and 103,035

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Solution

The third proportional to 76,754 and 103,035 is: 138,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,754 : 103,035 = 103,035 : x
  2. Step 2: Convert to fraction form
    76,754/103,035 = 103,035/x
  3. Step 3: Cross multiply
    76,754x = 103,035 × 103,035
  4. Step 4: Simplify right side
    76,754x = 10,616,211,225
  5. Step 5: Solve for x
    x = 10,616,211,225/76,754
  6. Step 6: Final answer
    x = 138,314.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.