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Finding the Third Proportional to 73,791 and 103,545

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Solution

The third proportional to 73,791 and 103,545 is: 145,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,791 : 103,545 = 103,545 : x
  2. Step 2: Convert to fraction form
    73,791/103,545 = 103,545/x
  3. Step 3: Cross multiply
    73,791x = 103,545 × 103,545
  4. Step 4: Simplify right side
    73,791x = 10,721,567,025
  5. Step 5: Solve for x
    x = 10,721,567,025/73,791
  6. Step 6: Final answer
    x = 145,296.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.