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Finding the Third Proportional to 113,463 and 165,928

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Solution

The third proportional to 113,463 and 165,928 is: 242,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,463 : 165,928 = 165,928 : x
  2. Step 2: Convert to fraction form
    113,463/165,928 = 165,928/x
  3. Step 3: Cross multiply
    113,463x = 165,928 × 165,928
  4. Step 4: Simplify right side
    113,463x = 27,532,101,184
  5. Step 5: Solve for x
    x = 27,532,101,184/113,463
  6. Step 6: Final answer
    x = 242,652.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.