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Finding the Third Proportional to 75,366 and 116,645

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Solution

The third proportional to 75,366 and 116,645 is: 180,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,366 : 116,645 = 116,645 : x
  2. Step 2: Convert to fraction form
    75,366/116,645 = 116,645/x
  3. Step 3: Cross multiply
    75,366x = 116,645 × 116,645
  4. Step 4: Simplify right side
    75,366x = 13,606,056,025
  5. Step 5: Solve for x
    x = 13,606,056,025/75,366
  6. Step 6: Final answer
    x = 180,533.08

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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.