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Finding the Third Proportional to 113,641 and 173,921

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Solution

The third proportional to 113,641 and 173,921 is: 266,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,641 : 173,921 = 173,921 : x
  2. Step 2: Convert to fraction form
    113,641/173,921 = 173,921/x
  3. Step 3: Cross multiply
    113,641x = 173,921 × 173,921
  4. Step 4: Simplify right side
    113,641x = 30,248,514,241
  5. Step 5: Solve for x
    x = 30,248,514,241/113,641
  6. Step 6: Final answer
    x = 266,176.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.