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Finding the Third Proportional to 35,106 and 75,156

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Solution

The third proportional to 35,106 and 75,156 is: 160,896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,106 : 75,156 = 75,156 : x
  2. Step 2: Convert to fraction form
    35,106/75,156 = 75,156/x
  3. Step 3: Cross multiply
    35,106x = 75,156 × 75,156
  4. Step 4: Simplify right side
    35,106x = 5,648,424,336
  5. Step 5: Solve for x
    x = 5,648,424,336/35,106
  6. Step 6: Final answer
    x = 160,896.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.