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Finding the Third Proportional to 31,746 and 75,210

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Solution

The third proportional to 31,746 and 75,210 is: 178,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,746 : 75,210 = 75,210 : x
  2. Step 2: Convert to fraction form
    31,746/75,210 = 75,210/x
  3. Step 3: Cross multiply
    31,746x = 75,210 × 75,210
  4. Step 4: Simplify right side
    31,746x = 5,656,544,100
  5. Step 5: Solve for x
    x = 5,656,544,100/31,746
  6. Step 6: Final answer
    x = 178,181.32

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.