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Finding the Third Proportional to 78,072 and 116,894

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Solution

The third proportional to 78,072 and 116,894 is: 175,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,072 : 116,894 = 116,894 : x
  2. Step 2: Convert to fraction form
    78,072/116,894 = 116,894/x
  3. Step 3: Cross multiply
    78,072x = 116,894 × 116,894
  4. Step 4: Simplify right side
    78,072x = 13,664,207,236
  5. Step 5: Solve for x
    x = 13,664,207,236/78,072
  6. Step 6: Final answer
    x = 175,020.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.