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Finding the Third Proportional to 78,263 and 116,934

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Solution

The third proportional to 78,263 and 116,934 is: 174,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,263 : 116,934 = 116,934 : x
  2. Step 2: Convert to fraction form
    78,263/116,934 = 116,934/x
  3. Step 3: Cross multiply
    78,263x = 116,934 × 116,934
  4. Step 4: Simplify right side
    78,263x = 13,673,560,356
  5. Step 5: Solve for x
    x = 13,673,560,356/78,263
  6. Step 6: Final answer
    x = 174,712.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.