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Finding the Third Proportional to 62,871 and 127,564.50

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Solution

The third proportional to 62,871 and 127,564.50 is: 258,826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,871 : 127,564.50 = 127,564.50 : x
  2. Step 2: Convert to fraction form
    62,871/127,564.50 = 127,564.50/x
  3. Step 3: Cross multiply
    62,871x = 127,564.50 × 127,564.50
  4. Step 4: Simplify right side
    62,871x = 16,272,701,660.25
  5. Step 5: Solve for x
    x = 16,272,701,660.25/62,871
  6. Step 6: Final answer
    x = 258,826.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.