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Finding the Third Proportional to 34,321 and 75,202

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Solution

The third proportional to 34,321 and 75,202 is: 164,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,321 : 75,202 = 75,202 : x
  2. Step 2: Convert to fraction form
    34,321/75,202 = 75,202/x
  3. Step 3: Cross multiply
    34,321x = 75,202 × 75,202
  4. Step 4: Simplify right side
    34,321x = 5,655,340,804
  5. Step 5: Solve for x
    x = 5,655,340,804/34,321
  6. Step 6: Final answer
    x = 164,777.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.