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Finding the Third Proportional to 75,345 and 103,313.25

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Solution

The third proportional to 75,345 and 103,313.25 is: 141,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,345 : 103,313.25 = 103,313.25 : x
  2. Step 2: Convert to fraction form
    75,345/103,313.25 = 103,313.25/x
  3. Step 3: Cross multiply
    75,345x = 103,313.25 × 103,313.25
  4. Step 4: Simplify right side
    75,345x = 10,673,627,625.56
  5. Step 5: Solve for x
    x = 10,673,627,625.56/75,345
  6. Step 6: Final answer
    x = 141,663.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.