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Finding the Third Proportional to 35,166 and 75,880.50

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Solution

The third proportional to 35,166 and 75,880.50 is: 163,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,166 : 75,880.50 = 75,880.50 : x
  2. Step 2: Convert to fraction form
    35,166/75,880.50 = 75,880.50/x
  3. Step 3: Cross multiply
    35,166x = 75,880.50 × 75,880.50
  4. Step 4: Simplify right side
    35,166x = 5,757,850,280.25
  5. Step 5: Solve for x
    x = 5,757,850,280.25/35,166
  6. Step 6: Final answer
    x = 163,733.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.