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Finding the Third Proportional to 66,899 and 99,830

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Solution

The third proportional to 66,899 and 99,830 is: 148,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,899 : 99,830 = 99,830 : x
  2. Step 2: Convert to fraction form
    66,899/99,830 = 99,830/x
  3. Step 3: Cross multiply
    66,899x = 99,830 × 99,830
  4. Step 4: Simplify right side
    66,899x = 9,966,028,900
  5. Step 5: Solve for x
    x = 9,966,028,900/66,899
  6. Step 6: Final answer
    x = 148,971.27

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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.