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Finding the Third Proportional to 55,880 and 117,968

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Solution

The third proportional to 55,880 and 117,968 is: 249,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,880 : 117,968 = 117,968 : x
  2. Step 2: Convert to fraction form
    55,880/117,968 = 117,968/x
  3. Step 3: Cross multiply
    55,880x = 117,968 × 117,968
  4. Step 4: Simplify right side
    55,880x = 13,916,449,024
  5. Step 5: Solve for x
    x = 13,916,449,024/55,880
  6. Step 6: Final answer
    x = 249,041.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.