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Finding the Third Proportional to 113,884 and 173,580

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Solution

The third proportional to 113,884 and 173,580 is: 264,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,884 : 173,580 = 173,580 : x
  2. Step 2: Convert to fraction form
    113,884/173,580 = 173,580/x
  3. Step 3: Cross multiply
    113,884x = 173,580 × 173,580
  4. Step 4: Simplify right side
    113,884x = 30,130,016,400
  5. Step 5: Solve for x
    x = 30,130,016,400/113,884
  6. Step 6: Final answer
    x = 264,567.60

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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.