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Finding the Third Proportional to 45,013.75 and 98,127

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Solution

The third proportional to 45,013.75 and 98,127 is: 213,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,013.75 : 98,127 = 98,127 : x
  2. Step 2: Convert to fraction form
    45,013.75/98,127 = 98,127/x
  3. Step 3: Cross multiply
    45,013.75x = 98,127 × 98,127
  4. Step 4: Simplify right side
    45,013.75x = 9,628,908,129
  5. Step 5: Solve for x
    x = 9,628,908,129/45,013.75
  6. Step 6: Final answer
    x = 213,910.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.