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Finding the Third Proportional to 122,053.50 and 162,909

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Solution

The third proportional to 122,053.50 and 162,909 is: 217,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,053.50 : 162,909 = 162,909 : x
  2. Step 2: Convert to fraction form
    122,053.50/162,909 = 162,909/x
  3. Step 3: Cross multiply
    122,053.50x = 162,909 × 162,909
  4. Step 4: Simplify right side
    122,053.50x = 26,539,342,281
  5. Step 5: Solve for x
    x = 26,539,342,281/122,053.50
  6. Step 6: Final answer
    x = 217,440.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.