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Finding the Third Proportional to 62,509.50 and 138,532.50

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Solution

The third proportional to 62,509.50 and 138,532.50 is: 307,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,509.50 : 138,532.50 = 138,532.50 : x
  2. Step 2: Convert to fraction form
    62,509.50/138,532.50 = 138,532.50/x
  3. Step 3: Cross multiply
    62,509.50x = 138,532.50 × 138,532.50
  4. Step 4: Simplify right side
    62,509.50x = 19,191,253,556.25
  5. Step 5: Solve for x
    x = 19,191,253,556.25/62,509.50
  6. Step 6: Final answer
    x = 307,013.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.