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Finding the Third Proportional to 34,320 and 75,201

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Solution

The third proportional to 34,320 and 75,201 is: 164,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,320 : 75,201 = 75,201 : x
  2. Step 2: Convert to fraction form
    34,320/75,201 = 75,201/x
  3. Step 3: Cross multiply
    34,320x = 75,201 × 75,201
  4. Step 4: Simplify right side
    34,320x = 5,655,190,401
  5. Step 5: Solve for x
    x = 5,655,190,401/34,320
  6. Step 6: Final answer
    x = 164,778.28

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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.