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Finding the Third Proportional to 125,220 and 194,050

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Solution

The third proportional to 125,220 and 194,050 is: 300,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,220 : 194,050 = 194,050 : x
  2. Step 2: Convert to fraction form
    125,220/194,050 = 194,050/x
  3. Step 3: Cross multiply
    125,220x = 194,050 × 194,050
  4. Step 4: Simplify right side
    125,220x = 37,655,402,500
  5. Step 5: Solve for x
    x = 37,655,402,500/125,220
  6. Step 6: Final answer
    x = 300,713.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.