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Finding the Third Proportional to 62,307.75 and 137,070.56

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Solution

The third proportional to 62,307.75 and 137,070.56 is: 301,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,307.75 : 137,070.56 = 137,070.56 : x
  2. Step 2: Convert to fraction form
    62,307.75/137,070.56 = 137,070.56/x
  3. Step 3: Cross multiply
    62,307.75x = 137,070.56 × 137,070.56
  4. Step 4: Simplify right side
    62,307.75x = 18,788,339,104.07
  5. Step 5: Solve for x
    x = 18,788,339,104.07/62,307.75
  6. Step 6: Final answer
    x = 301,540.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.