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Finding the Third Proportional to 117,207 and 181,602

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Solution

The third proportional to 117,207 and 181,602 is: 281,376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,207 : 181,602 = 181,602 : x
  2. Step 2: Convert to fraction form
    117,207/181,602 = 181,602/x
  3. Step 3: Cross multiply
    117,207x = 181,602 × 181,602
  4. Step 4: Simplify right side
    117,207x = 32,979,286,404
  5. Step 5: Solve for x
    x = 32,979,286,404/117,207
  6. Step 6: Final answer
    x = 281,376.42

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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.