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Finding the Third Proportional to 119,029.50 and 161,475

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Solution

The third proportional to 119,029.50 and 161,475 is: 219,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,029.50 : 161,475 = 161,475 : x
  2. Step 2: Convert to fraction form
    119,029.50/161,475 = 161,475/x
  3. Step 3: Cross multiply
    119,029.50x = 161,475 × 161,475
  4. Step 4: Simplify right side
    119,029.50x = 26,074,175,625
  5. Step 5: Solve for x
    x = 26,074,175,625/119,029.50
  6. Step 6: Final answer
    x = 219,056.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.