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Finding the Third Proportional to 95,633 and 210,139

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Solution

The third proportional to 95,633 and 210,139 is: 461,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,633 : 210,139 = 210,139 : x
  2. Step 2: Convert to fraction form
    95,633/210,139 = 210,139/x
  3. Step 3: Cross multiply
    95,633x = 210,139 × 210,139
  4. Step 4: Simplify right side
    95,633x = 44,158,399,321
  5. Step 5: Solve for x
    x = 44,158,399,321/95,633
  6. Step 6: Final answer
    x = 461,748.55

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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.