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Finding the Third Proportional to 117,126 and 186,228

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Solution

The third proportional to 117,126 and 186,228 is: 296,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,126 : 186,228 = 186,228 : x
  2. Step 2: Convert to fraction form
    117,126/186,228 = 186,228/x
  3. Step 3: Cross multiply
    117,126x = 186,228 × 186,228
  4. Step 4: Simplify right side
    117,126x = 34,680,867,984
  5. Step 5: Solve for x
    x = 34,680,867,984/117,126
  6. Step 6: Final answer
    x = 296,098.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.