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Finding the Third Proportional to 113,924 and 170,830

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Solution

The third proportional to 113,924 and 170,830 is: 256,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,924 : 170,830 = 170,830 : x
  2. Step 2: Convert to fraction form
    113,924/170,830 = 170,830/x
  3. Step 3: Cross multiply
    113,924x = 170,830 × 170,830
  4. Step 4: Simplify right side
    113,924x = 29,182,888,900
  5. Step 5: Solve for x
    x = 29,182,888,900/113,924
  6. Step 6: Final answer
    x = 256,161.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.