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Finding the Third Proportional to 125,554 and 186,158

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Solution

The third proportional to 125,554 and 186,158 is: 276,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,554 : 186,158 = 186,158 : x
  2. Step 2: Convert to fraction form
    125,554/186,158 = 186,158/x
  3. Step 3: Cross multiply
    125,554x = 186,158 × 186,158
  4. Step 4: Simplify right side
    125,554x = 34,654,800,964
  5. Step 5: Solve for x
    x = 34,654,800,964/125,554
  6. Step 6: Final answer
    x = 276,015.11

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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.