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Finding the Third Proportional to 76,050 and 169,596

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Solution

The third proportional to 76,050 and 169,596 is: 378,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,050 : 169,596 = 169,596 : x
  2. Step 2: Convert to fraction form
    76,050/169,596 = 169,596/x
  3. Step 3: Cross multiply
    76,050x = 169,596 × 169,596
  4. Step 4: Simplify right side
    76,050x = 28,762,803,216
  5. Step 5: Solve for x
    x = 28,762,803,216/76,050
  6. Step 6: Final answer
    x = 378,209.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.