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Finding the Third Proportional to 66,482 and 99,498

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Solution

The third proportional to 66,482 and 99,498 is: 148,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,482 : 99,498 = 99,498 : x
  2. Step 2: Convert to fraction form
    66,482/99,498 = 99,498/x
  3. Step 3: Cross multiply
    66,482x = 99,498 × 99,498
  4. Step 4: Simplify right side
    66,482x = 9,899,852,004
  5. Step 5: Solve for x
    x = 9,899,852,004/66,482
  6. Step 6: Final answer
    x = 148,910.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.