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Finding the Third Proportional to 125,852 and 193,154

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Solution

The third proportional to 125,852 and 193,154 is: 296,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,852 : 193,154 = 193,154 : x
  2. Step 2: Convert to fraction form
    125,852/193,154 = 193,154/x
  3. Step 3: Cross multiply
    125,852x = 193,154 × 193,154
  4. Step 4: Simplify right side
    125,852x = 37,308,467,716
  5. Step 5: Solve for x
    x = 37,308,467,716/125,852
  6. Step 6: Final answer
    x = 296,447.16

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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.