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Finding the Third Proportional to 50,972 and 78,730

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Solution

The third proportional to 50,972 and 78,730 is: 121,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,972 : 78,730 = 78,730 : x
  2. Step 2: Convert to fraction form
    50,972/78,730 = 78,730/x
  3. Step 3: Cross multiply
    50,972x = 78,730 × 78,730
  4. Step 4: Simplify right side
    50,972x = 6,198,412,900
  5. Step 5: Solve for x
    x = 6,198,412,900/50,972
  6. Step 6: Final answer
    x = 121,604.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.