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Finding the Third Proportional to 53.28 and 114.70

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Solution

The third proportional to 53.28 and 114.70 is: 246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.28 : 114.70 = 114.70 : x
  2. Step 2: Convert to fraction form
    53.28/114.70 = 114.70/x
  3. Step 3: Cross multiply
    53.28x = 114.70 × 114.70
  4. Step 4: Simplify right side
    53.28x = 13,156.81
  5. Step 5: Solve for x
    x = 13,156.81/53.28
  6. Step 6: Final answer
    x = 246.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.