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Finding the Third Proportional to 117,332 and 181,761

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Solution

The third proportional to 117,332 and 181,761 is: 281,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,332 : 181,761 = 181,761 : x
  2. Step 2: Convert to fraction form
    117,332/181,761 = 181,761/x
  3. Step 3: Cross multiply
    117,332x = 181,761 × 181,761
  4. Step 4: Simplify right side
    117,332x = 33,037,061,121
  5. Step 5: Solve for x
    x = 33,037,061,121/117,332
  6. Step 6: Final answer
    x = 281,569.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.