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Finding the Third Proportional to 34,875 and 75,183.75

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Solution

The third proportional to 34,875 and 75,183.75 is: 162,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,875 : 75,183.75 = 75,183.75 : x
  2. Step 2: Convert to fraction form
    34,875/75,183.75 = 75,183.75/x
  3. Step 3: Cross multiply
    34,875x = 75,183.75 × 75,183.75
  4. Step 4: Simplify right side
    34,875x = 5,652,596,264.06
  5. Step 5: Solve for x
    x = 5,652,596,264.06/34,875
  6. Step 6: Final answer
    x = 162,081.61

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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.