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Finding the Third Proportional to 75,360 and 116,582

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Solution

The third proportional to 75,360 and 116,582 is: 180,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,360 : 116,582 = 116,582 : x
  2. Step 2: Convert to fraction form
    75,360/116,582 = 116,582/x
  3. Step 3: Cross multiply
    75,360x = 116,582 × 116,582
  4. Step 4: Simplify right side
    75,360x = 13,591,362,724
  5. Step 5: Solve for x
    x = 13,591,362,724/75,360
  6. Step 6: Final answer
    x = 180,352.48

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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.