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Finding the Third Proportional to 53 and 116.50

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Solution

The third proportional to 53 and 116.50 is: 256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53 : 116.50 = 116.50 : x
  2. Step 2: Convert to fraction form
    53/116.50 = 116.50/x
  3. Step 3: Cross multiply
    53x = 116.50 × 116.50
  4. Step 4: Simplify right side
    53x = 13,572.25
  5. Step 5: Solve for x
    x = 13,572.25/53
  6. Step 6: Final answer
    x = 256.08

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