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Finding the Third Proportional to 39,282 and 72,819

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Solution

The third proportional to 39,282 and 72,819 is: 134,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,282 : 72,819 = 72,819 : x
  2. Step 2: Convert to fraction form
    39,282/72,819 = 72,819/x
  3. Step 3: Cross multiply
    39,282x = 72,819 × 72,819
  4. Step 4: Simplify right side
    39,282x = 5,302,606,761
  5. Step 5: Solve for x
    x = 5,302,606,761/39,282
  6. Step 6: Final answer
    x = 134,988.21

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.