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Finding the Third Proportional to 79,624 and 124,278

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Solution

The third proportional to 79,624 and 124,278 is: 193,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,624 : 124,278 = 124,278 : x
  2. Step 2: Convert to fraction form
    79,624/124,278 = 124,278/x
  3. Step 3: Cross multiply
    79,624x = 124,278 × 124,278
  4. Step 4: Simplify right side
    79,624x = 15,445,021,284
  5. Step 5: Solve for x
    x = 15,445,021,284/79,624
  6. Step 6: Final answer
    x = 193,974.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.