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Finding the Third Proportional to 95,632.50 and 210,138

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Solution

The third proportional to 95,632.50 and 210,138 is: 461,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,632.50 : 210,138 = 210,138 : x
  2. Step 2: Convert to fraction form
    95,632.50/210,138 = 210,138/x
  3. Step 3: Cross multiply
    95,632.50x = 210,138 × 210,138
  4. Step 4: Simplify right side
    95,632.50x = 44,157,979,044
  5. Step 5: Solve for x
    x = 44,157,979,044/95,632.50
  6. Step 6: Final answer
    x = 461,746.57

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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.