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Finding the Third Proportional to 35,254 and 76,315

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Solution

The third proportional to 35,254 and 76,315 is: 165,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,254 : 76,315 = 76,315 : x
  2. Step 2: Convert to fraction form
    35,254/76,315 = 76,315/x
  3. Step 3: Cross multiply
    35,254x = 76,315 × 76,315
  4. Step 4: Simplify right side
    35,254x = 5,823,979,225
  5. Step 5: Solve for x
    x = 5,823,979,225/35,254
  6. Step 6: Final answer
    x = 165,200.52

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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.