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Finding the Third Proportional to 99,504 and 147,304

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Solution

The third proportional to 99,504 and 147,304 is: 218,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,504 : 147,304 = 147,304 : x
  2. Step 2: Convert to fraction form
    99,504/147,304 = 147,304/x
  3. Step 3: Cross multiply
    99,504x = 147,304 × 147,304
  4. Step 4: Simplify right side
    99,504x = 21,698,468,416
  5. Step 5: Solve for x
    x = 21,698,468,416/99,504
  6. Step 6: Final answer
    x = 218,066.29

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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.