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Finding the Third Proportional to 93,449 and 122,650

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Solution

The third proportional to 93,449 and 122,650 is: 160,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,449 : 122,650 = 122,650 : x
  2. Step 2: Convert to fraction form
    93,449/122,650 = 122,650/x
  3. Step 3: Cross multiply
    93,449x = 122,650 × 122,650
  4. Step 4: Simplify right side
    93,449x = 15,043,022,500
  5. Step 5: Solve for x
    x = 15,043,022,500/93,449
  6. Step 6: Final answer
    x = 160,975.75

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.