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Finding the Third Proportional to 119,069 and 161,706.50

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Solution

The third proportional to 119,069 and 161,706.50 is: 219,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,069 : 161,706.50 = 161,706.50 : x
  2. Step 2: Convert to fraction form
    119,069/161,706.50 = 161,706.50/x
  3. Step 3: Cross multiply
    119,069x = 161,706.50 × 161,706.50
  4. Step 4: Simplify right side
    119,069x = 26,148,992,142.25
  5. Step 5: Solve for x
    x = 26,148,992,142.25/119,069
  6. Step 6: Final answer
    x = 219,612.09

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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.