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Finding the Third Proportional to 95,482 and 210,032

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Solution

The third proportional to 95,482 and 210,032 is: 462,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,482 : 210,032 = 210,032 : x
  2. Step 2: Convert to fraction form
    95,482/210,032 = 210,032/x
  3. Step 3: Cross multiply
    95,482x = 210,032 × 210,032
  4. Step 4: Simplify right side
    95,482x = 44,113,441,024
  5. Step 5: Solve for x
    x = 44,113,441,024/95,482
  6. Step 6: Final answer
    x = 462,007.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.