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Finding the Third Proportional to 94,716 and 146,296

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Solution

The third proportional to 94,716 and 146,296 is: 225,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,716 : 146,296 = 146,296 : x
  2. Step 2: Convert to fraction form
    94,716/146,296 = 146,296/x
  3. Step 3: Cross multiply
    94,716x = 146,296 × 146,296
  4. Step 4: Simplify right side
    94,716x = 21,402,519,616
  5. Step 5: Solve for x
    x = 21,402,519,616/94,716
  6. Step 6: Final answer
    x = 225,965.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.