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Finding the Third Proportional to 101,944 and 157,460

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Solution

The third proportional to 101,944 and 157,460 is: 243,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,944 : 157,460 = 157,460 : x
  2. Step 2: Convert to fraction form
    101,944/157,460 = 157,460/x
  3. Step 3: Cross multiply
    101,944x = 157,460 × 157,460
  4. Step 4: Simplify right side
    101,944x = 24,793,651,600
  5. Step 5: Solve for x
    x = 24,793,651,600/101,944
  6. Step 6: Final answer
    x = 243,208.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.