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Finding the Third Proportional to 66,402 and 98,661

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Solution

The third proportional to 66,402 and 98,661 is: 146,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,402 : 98,661 = 98,661 : x
  2. Step 2: Convert to fraction form
    66,402/98,661 = 98,661/x
  3. Step 3: Cross multiply
    66,402x = 98,661 × 98,661
  4. Step 4: Simplify right side
    66,402x = 9,733,992,921
  5. Step 5: Solve for x
    x = 9,733,992,921/66,402
  6. Step 6: Final answer
    x = 146,591.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.