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Finding the Third Proportional to 141,036 and 155,796

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Solution

The third proportional to 141,036 and 155,796 is: 172,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,036 : 155,796 = 155,796 : x
  2. Step 2: Convert to fraction form
    141,036/155,796 = 155,796/x
  3. Step 3: Cross multiply
    141,036x = 155,796 × 155,796
  4. Step 4: Simplify right side
    141,036x = 24,272,393,616
  5. Step 5: Solve for x
    x = 24,272,393,616/141,036
  6. Step 6: Final answer
    x = 172,100.69

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.