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Finding the Third Proportional to 55,688 and 116,844

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Solution

The third proportional to 55,688 and 116,844 is: 245,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,688 : 116,844 = 116,844 : x
  2. Step 2: Convert to fraction form
    55,688/116,844 = 116,844/x
  3. Step 3: Cross multiply
    55,688x = 116,844 × 116,844
  4. Step 4: Simplify right side
    55,688x = 13,652,520,336
  5. Step 5: Solve for x
    x = 13,652,520,336/55,688
  6. Step 6: Final answer
    x = 245,160.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.