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Finding the Third Proportional to 134,239 and 181,662

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Solution

The third proportional to 134,239 and 181,662 is: 245,838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,239 : 181,662 = 181,662 : x
  2. Step 2: Convert to fraction form
    134,239/181,662 = 181,662/x
  3. Step 3: Cross multiply
    134,239x = 181,662 × 181,662
  4. Step 4: Simplify right side
    134,239x = 33,001,082,244
  5. Step 5: Solve for x
    x = 33,001,082,244/134,239
  6. Step 6: Final answer
    x = 245,838.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.