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Finding the Third Proportional to 77,935.50 and 104,004

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Solution

The third proportional to 77,935.50 and 104,004 is: 138,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,935.50 : 104,004 = 104,004 : x
  2. Step 2: Convert to fraction form
    77,935.50/104,004 = 104,004/x
  3. Step 3: Cross multiply
    77,935.50x = 104,004 × 104,004
  4. Step 4: Simplify right side
    77,935.50x = 10,816,832,016
  5. Step 5: Solve for x
    x = 10,816,832,016/77,935.50
  6. Step 6: Final answer
    x = 138,792.10

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.