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Finding the Third Proportional to 104,884 and 157,296

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Solution

The third proportional to 104,884 and 157,296 is: 235,899.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,884 : 157,296 = 157,296 : x
  2. Step 2: Convert to fraction form
    104,884/157,296 = 157,296/x
  3. Step 3: Cross multiply
    104,884x = 157,296 × 157,296
  4. Step 4: Simplify right side
    104,884x = 24,742,031,616
  5. Step 5: Solve for x
    x = 24,742,031,616/104,884
  6. Step 6: Final answer
    x = 235,899.01

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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.