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Finding the Third Proportional to 125,504 and 188,534

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Solution

The third proportional to 125,504 and 188,534 is: 283,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,504 : 188,534 = 188,534 : x
  2. Step 2: Convert to fraction form
    125,504/188,534 = 188,534/x
  3. Step 3: Cross multiply
    125,504x = 188,534 × 188,534
  4. Step 4: Simplify right side
    125,504x = 35,545,069,156
  5. Step 5: Solve for x
    x = 35,545,069,156/125,504
  6. Step 6: Final answer
    x = 283,218.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.