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Finding the Third Proportional to 113,643 and 173,925

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Solution

The third proportional to 113,643 and 173,925 is: 266,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,643 : 173,925 = 173,925 : x
  2. Step 2: Convert to fraction form
    113,643/173,925 = 173,925/x
  3. Step 3: Cross multiply
    113,643x = 173,925 × 173,925
  4. Step 4: Simplify right side
    113,643x = 30,249,905,625
  5. Step 5: Solve for x
    x = 30,249,905,625/113,643
  6. Step 6: Final answer
    x = 266,183.62

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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.