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Finding the Third Proportional to 53 and 117

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Solution

The third proportional to 53 and 117 is: 258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53 : 117 = 117 : x
  2. Step 2: Convert to fraction form
    53/117 = 117/x
  3. Step 3: Cross multiply
    53x = 117 × 117
  4. Step 4: Simplify right side
    53x = 13,689
  5. Step 5: Solve for x
    x = 13,689/53
  6. Step 6: Final answer
    x = 258.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.