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Finding the Third Proportional to 66,498 and 99,522

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Solution

The third proportional to 66,498 and 99,522 is: 148,946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,498 : 99,522 = 99,522 : x
  2. Step 2: Convert to fraction form
    66,498/99,522 = 99,522/x
  3. Step 3: Cross multiply
    66,498x = 99,522 × 99,522
  4. Step 4: Simplify right side
    66,498x = 9,904,628,484
  5. Step 5: Solve for x
    x = 9,904,628,484/66,498
  6. Step 6: Final answer
    x = 148,946.26

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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.