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Finding the Third Proportional to 104,516 and 157,012

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Solution

The third proportional to 104,516 and 157,012 is: 235,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,516 : 157,012 = 157,012 : x
  2. Step 2: Convert to fraction form
    104,516/157,012 = 157,012/x
  3. Step 3: Cross multiply
    104,516x = 157,012 × 157,012
  4. Step 4: Simplify right side
    104,516x = 24,652,768,144
  5. Step 5: Solve for x
    x = 24,652,768,144/104,516
  6. Step 6: Final answer
    x = 235,875.54

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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.