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Finding the Third Proportional to 124,600 and 193,254

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Solution

The third proportional to 124,600 and 193,254 is: 299,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,600 : 193,254 = 193,254 : x
  2. Step 2: Convert to fraction form
    124,600/193,254 = 193,254/x
  3. Step 3: Cross multiply
    124,600x = 193,254 × 193,254
  4. Step 4: Simplify right side
    124,600x = 37,347,108,516
  5. Step 5: Solve for x
    x = 37,347,108,516/124,600
  6. Step 6: Final answer
    x = 299,736.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.