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Finding the Third Proportional to 94,296 and 147,156

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Solution

The third proportional to 94,296 and 147,156 is: 229,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,296 : 147,156 = 147,156 : x
  2. Step 2: Convert to fraction form
    94,296/147,156 = 147,156/x
  3. Step 3: Cross multiply
    94,296x = 147,156 × 147,156
  4. Step 4: Simplify right side
    94,296x = 21,654,888,336
  5. Step 5: Solve for x
    x = 21,654,888,336/94,296
  6. Step 6: Final answer
    x = 229,648.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.