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Finding the Third Proportional to 55,710 and 116,886

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Solution

The third proportional to 55,710 and 116,886 is: 245,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,710 : 116,886 = 116,886 : x
  2. Step 2: Convert to fraction form
    55,710/116,886 = 116,886/x
  3. Step 3: Cross multiply
    55,710x = 116,886 × 116,886
  4. Step 4: Simplify right side
    55,710x = 13,662,336,996
  5. Step 5: Solve for x
    x = 13,662,336,996/55,710
  6. Step 6: Final answer
    x = 245,240.30

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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.