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Finding the Third Proportional to 35,358 and 76,251

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Solution

The third proportional to 35,358 and 76,251 is: 164,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,358 : 76,251 = 76,251 : x
  2. Step 2: Convert to fraction form
    35,358/76,251 = 76,251/x
  3. Step 3: Cross multiply
    35,358x = 76,251 × 76,251
  4. Step 4: Simplify right side
    35,358x = 5,814,215,001
  5. Step 5: Solve for x
    x = 5,814,215,001/35,358
  6. Step 6: Final answer
    x = 164,438.46

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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.