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Finding the Third Proportional to 35,283 and 76,106

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Solution

The third proportional to 35,283 and 76,106 is: 164,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,283 : 76,106 = 76,106 : x
  2. Step 2: Convert to fraction form
    35,283/76,106 = 76,106/x
  3. Step 3: Cross multiply
    35,283x = 76,106 × 76,106
  4. Step 4: Simplify right side
    35,283x = 5,792,123,236
  5. Step 5: Solve for x
    x = 5,792,123,236/35,283
  6. Step 6: Final answer
    x = 164,161.87

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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.