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Finding the Third Proportional to 34,729 and 75,050

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Solution

The third proportional to 34,729 and 75,050 is: 162,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,729 : 75,050 = 75,050 : x
  2. Step 2: Convert to fraction form
    34,729/75,050 = 75,050/x
  3. Step 3: Cross multiply
    34,729x = 75,050 × 75,050
  4. Step 4: Simplify right side
    34,729x = 5,632,502,500
  5. Step 5: Solve for x
    x = 5,632,502,500/34,729
  6. Step 6: Final answer
    x = 162,184.41

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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.