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Finding the Third Proportional to 102,014.44 and 145,048.22

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Solution

The third proportional to 102,014.44 and 145,048.22 is: 206,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,014.44 : 145,048.22 = 145,048.22 : x
  2. Step 2: Convert to fraction form
    102,014.44/145,048.22 = 145,048.22/x
  3. Step 3: Cross multiply
    102,014.44x = 145,048.22 × 145,048.22
  4. Step 4: Simplify right side
    102,014.44x = 21,038,985,762.55
  5. Step 5: Solve for x
    x = 21,038,985,762.55/102,014.44
  6. Step 6: Final answer
    x = 206,235.37

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Why These Related Problems?

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