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Finding the Third Proportional to 113,882 and 173,577

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Solution

The third proportional to 113,882 and 173,577 is: 264,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,882 : 173,577 = 173,577 : x
  2. Step 2: Convert to fraction form
    113,882/173,577 = 173,577/x
  3. Step 3: Cross multiply
    113,882x = 173,577 × 173,577
  4. Step 4: Simplify right side
    113,882x = 30,128,974,929
  5. Step 5: Solve for x
    x = 30,128,974,929/113,882
  6. Step 6: Final answer
    x = 264,563.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.