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Finding the Third Proportional to 55,710 and 116,013

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Solution

The third proportional to 55,710 and 116,013 is: 241,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,710 : 116,013 = 116,013 : x
  2. Step 2: Convert to fraction form
    55,710/116,013 = 116,013/x
  3. Step 3: Cross multiply
    55,710x = 116,013 × 116,013
  4. Step 4: Simplify right side
    55,710x = 13,459,016,169
  5. Step 5: Solve for x
    x = 13,459,016,169/55,710
  6. Step 6: Final answer
    x = 241,590.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.