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Finding the Third Proportional to 141,538 and 183,686

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Solution

The third proportional to 141,538 and 183,686 is: 238,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,538 : 183,686 = 183,686 : x
  2. Step 2: Convert to fraction form
    141,538/183,686 = 183,686/x
  3. Step 3: Cross multiply
    141,538x = 183,686 × 183,686
  4. Step 4: Simplify right side
    141,538x = 33,740,546,596
  5. Step 5: Solve for x
    x = 33,740,546,596/141,538
  6. Step 6: Final answer
    x = 238,385.07

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.