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Finding the Third Proportional to 35,614 and 76,169

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Solution

The third proportional to 35,614 and 76,169 is: 162,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,614 : 76,169 = 76,169 : x
  2. Step 2: Convert to fraction form
    35,614/76,169 = 76,169/x
  3. Step 3: Cross multiply
    35,614x = 76,169 × 76,169
  4. Step 4: Simplify right side
    35,614x = 5,801,716,561
  5. Step 5: Solve for x
    x = 5,801,716,561/35,614
  6. Step 6: Final answer
    x = 162,905.50

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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.