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Finding the Third Proportional to 67,263 and 99,597

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Solution

The third proportional to 67,263 and 99,597 is: 147,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,263 : 99,597 = 99,597 : x
  2. Step 2: Convert to fraction form
    67,263/99,597 = 99,597/x
  3. Step 3: Cross multiply
    67,263x = 99,597 × 99,597
  4. Step 4: Simplify right side
    67,263x = 9,919,562,409
  5. Step 5: Solve for x
    x = 9,919,562,409/67,263
  6. Step 6: Final answer
    x = 147,474.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.