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Finding the Third Proportional to 75,040 and 116,343

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Solution

The third proportional to 75,040 and 116,343 is: 180,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,040 : 116,343 = 116,343 : x
  2. Step 2: Convert to fraction form
    75,040/116,343 = 116,343/x
  3. Step 3: Cross multiply
    75,040x = 116,343 × 116,343
  4. Step 4: Simplify right side
    75,040x = 13,535,693,649
  5. Step 5: Solve for x
    x = 13,535,693,649/75,040
  6. Step 6: Final answer
    x = 180,379.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.