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Finding the Third Proportional to 52,816 and 117,440

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Solution

The third proportional to 52,816 and 117,440 is: 261,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,816 : 117,440 = 117,440 : x
  2. Step 2: Convert to fraction form
    52,816/117,440 = 117,440/x
  3. Step 3: Cross multiply
    52,816x = 117,440 × 117,440
  4. Step 4: Simplify right side
    52,816x = 13,792,153,600
  5. Step 5: Solve for x
    x = 13,792,153,600/52,816
  6. Step 6: Final answer
    x = 261,135.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.