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Finding the Third Proportional to 39,130 and 76,300

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Solution

The third proportional to 39,130 and 76,300 is: 148,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,130 : 76,300 = 76,300 : x
  2. Step 2: Convert to fraction form
    39,130/76,300 = 76,300/x
  3. Step 3: Cross multiply
    39,130x = 76,300 × 76,300
  4. Step 4: Simplify right side
    39,130x = 5,821,690,000
  5. Step 5: Solve for x
    x = 5,821,690,000/39,130
  6. Step 6: Final answer
    x = 148,778.18

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.