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Finding the Third Proportional to 77,685 and 117,577.50

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Solution

The third proportional to 77,685 and 117,577.50 is: 177,955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,685 : 117,577.50 = 117,577.50 : x
  2. Step 2: Convert to fraction form
    77,685/117,577.50 = 117,577.50/x
  3. Step 3: Cross multiply
    77,685x = 117,577.50 × 117,577.50
  4. Step 4: Simplify right side
    77,685x = 13,824,468,506.25
  5. Step 5: Solve for x
    x = 13,824,468,506.25/77,685
  6. Step 6: Final answer
    x = 177,955.44

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