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Finding the Third Proportional to 32,110 and 75,010

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Solution

The third proportional to 32,110 and 75,010 is: 175,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,110 : 75,010 = 75,010 : x
  2. Step 2: Convert to fraction form
    32,110/75,010 = 75,010/x
  3. Step 3: Cross multiply
    32,110x = 75,010 × 75,010
  4. Step 4: Simplify right side
    32,110x = 5,626,500,100
  5. Step 5: Solve for x
    x = 5,626,500,100/32,110
  6. Step 6: Final answer
    x = 175,225.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.