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Finding the Third Proportional to 125,848 and 193,148

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Solution

The third proportional to 125,848 and 193,148 is: 296,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,848 : 193,148 = 193,148 : x
  2. Step 2: Convert to fraction form
    125,848/193,148 = 193,148/x
  3. Step 3: Cross multiply
    125,848x = 193,148 × 193,148
  4. Step 4: Simplify right side
    125,848x = 37,306,149,904
  5. Step 5: Solve for x
    x = 37,306,149,904/125,848
  6. Step 6: Final answer
    x = 296,438.16

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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.