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Finding the Third Proportional to 34,176 and 73,966.50

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Solution

The third proportional to 34,176 and 73,966.50 is: 160,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176 : 73,966.50 = 73,966.50 : x
  2. Step 2: Convert to fraction form
    34,176/73,966.50 = 73,966.50/x
  3. Step 3: Cross multiply
    34,176x = 73,966.50 × 73,966.50
  4. Step 4: Simplify right side
    34,176x = 5,471,043,122.25
  5. Step 5: Solve for x
    x = 5,471,043,122.25/34,176
  6. Step 6: Final answer
    x = 160,084.36

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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.