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Finding the Third Proportional to 114,812 and 161,726

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Solution

The third proportional to 114,812 and 161,726 is: 227,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,812 : 161,726 = 161,726 : x
  2. Step 2: Convert to fraction form
    114,812/161,726 = 161,726/x
  3. Step 3: Cross multiply
    114,812x = 161,726 × 161,726
  4. Step 4: Simplify right side
    114,812x = 26,155,299,076
  5. Step 5: Solve for x
    x = 26,155,299,076/114,812
  6. Step 6: Final answer
    x = 227,809.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.