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Finding the Third Proportional to 114,275.25 and 173,961

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Solution

The third proportional to 114,275.25 and 173,961 is: 264,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,275.25 : 173,961 = 173,961 : x
  2. Step 2: Convert to fraction form
    114,275.25/173,961 = 173,961/x
  3. Step 3: Cross multiply
    114,275.25x = 173,961 × 173,961
  4. Step 4: Simplify right side
    114,275.25x = 30,262,429,521
  5. Step 5: Solve for x
    x = 30,262,429,521/114,275.25
  6. Step 6: Final answer
    x = 264,820.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.