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Finding the Third Proportional to 125,145 and 193,937

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Solution

The third proportional to 125,145 and 193,937 is: 300,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,145 : 193,937 = 193,937 : x
  2. Step 2: Convert to fraction form
    125,145/193,937 = 193,937/x
  3. Step 3: Cross multiply
    125,145x = 193,937 × 193,937
  4. Step 4: Simplify right side
    125,145x = 37,611,559,969
  5. Step 5: Solve for x
    x = 37,611,559,969/125,145
  6. Step 6: Final answer
    x = 300,543.85

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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.