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Finding the Third Proportional to 75,369 and 116,649

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Solution

The third proportional to 75,369 and 116,649 is: 180,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,369 : 116,649 = 116,649 : x
  2. Step 2: Convert to fraction form
    75,369/116,649 = 116,649/x
  3. Step 3: Cross multiply
    75,369x = 116,649 × 116,649
  4. Step 4: Simplify right side
    75,369x = 13,606,989,201
  5. Step 5: Solve for x
    x = 13,606,989,201/75,369
  6. Step 6: Final answer
    x = 180,538.27

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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.