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Finding the Third Proportional to 125,844 and 193,140

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Solution

The third proportional to 125,844 and 193,140 is: 296,423.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,844 : 193,140 = 193,140 : x
  2. Step 2: Convert to fraction form
    125,844/193,140 = 193,140/x
  3. Step 3: Cross multiply
    125,844x = 193,140 × 193,140
  4. Step 4: Simplify right side
    125,844x = 37,303,059,600
  5. Step 5: Solve for x
    x = 37,303,059,600/125,844
  6. Step 6: Final answer
    x = 296,423.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.