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Finding the Third Proportional to 35,320 and 77,201

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Solution

The third proportional to 35,320 and 77,201 is: 168,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,320 : 77,201 = 77,201 : x
  2. Step 2: Convert to fraction form
    35,320/77,201 = 77,201/x
  3. Step 3: Cross multiply
    35,320x = 77,201 × 77,201
  4. Step 4: Simplify right side
    35,320x = 5,959,994,401
  5. Step 5: Solve for x
    x = 5,959,994,401/35,320
  6. Step 6: Final answer
    x = 168,742.76

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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.