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Finding the Third Proportional to 75,216 and 116,084

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Solution

The third proportional to 75,216 and 116,084 is: 179,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,216 : 116,084 = 116,084 : x
  2. Step 2: Convert to fraction form
    75,216/116,084 = 116,084/x
  3. Step 3: Cross multiply
    75,216x = 116,084 × 116,084
  4. Step 4: Simplify right side
    75,216x = 13,475,495,056
  5. Step 5: Solve for x
    x = 13,475,495,056/75,216
  6. Step 6: Final answer
    x = 179,157.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.