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Finding the Third Proportional to 125,102 and 193,999.50

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Solution

The third proportional to 125,102 and 193,999.50 is: 300,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,102 : 193,999.50 = 193,999.50 : x
  2. Step 2: Convert to fraction form
    125,102/193,999.50 = 193,999.50/x
  3. Step 3: Cross multiply
    125,102x = 193,999.50 × 193,999.50
  4. Step 4: Simplify right side
    125,102x = 37,635,806,000.25
  5. Step 5: Solve for x
    x = 37,635,806,000.25/125,102
  6. Step 6: Final answer
    x = 300,840.96

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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.