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Finding the Third Proportional to 52,258 and 79,481

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Solution

The third proportional to 52,258 and 79,481 is: 120,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,258 : 79,481 = 79,481 : x
  2. Step 2: Convert to fraction form
    52,258/79,481 = 79,481/x
  3. Step 3: Cross multiply
    52,258x = 79,481 × 79,481
  4. Step 4: Simplify right side
    52,258x = 6,317,229,361
  5. Step 5: Solve for x
    x = 6,317,229,361/52,258
  6. Step 6: Final answer
    x = 120,885.40

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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.