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Finding the Third Proportional to 77,117.06 and 116,010.56

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Solution

The third proportional to 77,117.06 and 116,010.56 is: 174,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,117.06 : 116,010.56 = 116,010.56 : x
  2. Step 2: Convert to fraction form
    77,117.06/116,010.56 = 116,010.56/x
  3. Step 3: Cross multiply
    77,117.06x = 116,010.56 × 116,010.56
  4. Step 4: Simplify right side
    77,117.06x = 13,458,450,611.57
  5. Step 5: Solve for x
    x = 13,458,450,611.57/77,117.06
  6. Step 6: Final answer
    x = 174,519.75

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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.