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Finding the Third Proportional to 60,519 and 162,597

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Solution

The third proportional to 60,519 and 162,597 is: 436,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,519 : 162,597 = 162,597 : x
  2. Step 2: Convert to fraction form
    60,519/162,597 = 162,597/x
  3. Step 3: Cross multiply
    60,519x = 162,597 × 162,597
  4. Step 4: Simplify right side
    60,519x = 26,437,784,409
  5. Step 5: Solve for x
    x = 26,437,784,409/60,519
  6. Step 6: Final answer
    x = 436,850.98

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.