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Finding the Third Proportional to 62,148.50 and 107,013

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Solution

The third proportional to 62,148.50 and 107,013 is: 184,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,148.50 : 107,013 = 107,013 : x
  2. Step 2: Convert to fraction form
    62,148.50/107,013 = 107,013/x
  3. Step 3: Cross multiply
    62,148.50x = 107,013 × 107,013
  4. Step 4: Simplify right side
    62,148.50x = 11,451,782,169
  5. Step 5: Solve for x
    x = 11,451,782,169/62,148.50
  6. Step 6: Final answer
    x = 184,264.82

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.