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Finding the Third Proportional to 134,225.25 and 187,755

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Solution

The third proportional to 134,225.25 and 187,755 is: 262,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,225.25 : 187,755 = 187,755 : x
  2. Step 2: Convert to fraction form
    134,225.25/187,755 = 187,755/x
  3. Step 3: Cross multiply
    134,225.25x = 187,755 × 187,755
  4. Step 4: Simplify right side
    134,225.25x = 35,251,940,025
  5. Step 5: Solve for x
    x = 35,251,940,025/134,225.25
  6. Step 6: Final answer
    x = 262,632.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.