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Finding the Third Proportional to 113,419 and 171,040

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Solution

The third proportional to 113,419 and 171,040 is: 257,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,419 : 171,040 = 171,040 : x
  2. Step 2: Convert to fraction form
    113,419/171,040 = 171,040/x
  3. Step 3: Cross multiply
    113,419x = 171,040 × 171,040
  4. Step 4: Simplify right side
    113,419x = 29,254,681,600
  5. Step 5: Solve for x
    x = 29,254,681,600/113,419
  6. Step 6: Final answer
    x = 257,934.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.