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Finding the Third Proportional to 55,772 and 114,784

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Solution

The third proportional to 55,772 and 114,784 is: 236,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,772 : 114,784 = 114,784 : x
  2. Step 2: Convert to fraction form
    55,772/114,784 = 114,784/x
  3. Step 3: Cross multiply
    55,772x = 114,784 × 114,784
  4. Step 4: Simplify right side
    55,772x = 13,175,366,656
  5. Step 5: Solve for x
    x = 13,175,366,656/55,772
  6. Step 6: Final answer
    x = 236,236.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.