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Finding the Third Proportional to 125,505 and 186,096

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Solution

The third proportional to 125,505 and 186,096 is: 275,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,505 : 186,096 = 186,096 : x
  2. Step 2: Convert to fraction form
    125,505/186,096 = 186,096/x
  3. Step 3: Cross multiply
    125,505x = 186,096 × 186,096
  4. Step 4: Simplify right side
    125,505x = 34,631,721,216
  5. Step 5: Solve for x
    x = 34,631,721,216/125,505
  6. Step 6: Final answer
    x = 275,938.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.