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Finding the Third Proportional to 103,339.69 and 146,265.47

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Solution

The third proportional to 103,339.69 and 146,265.47 is: 207,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,339.69 : 146,265.47 = 146,265.47 : x
  2. Step 2: Convert to fraction form
    103,339.69/146,265.47 = 146,265.47/x
  3. Step 3: Cross multiply
    103,339.69x = 146,265.47 × 146,265.47
  4. Step 4: Simplify right side
    103,339.69x = 21,393,587,348.66
  5. Step 5: Solve for x
    x = 21,393,587,348.66/103,339.69
  6. Step 6: Final answer
    x = 207,021.99

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.