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Finding the Third Proportional to 96,712 and 210,235

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Solution

The third proportional to 96,712 and 210,235 is: 457,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,712 : 210,235 = 210,235 : x
  2. Step 2: Convert to fraction form
    96,712/210,235 = 210,235/x
  3. Step 3: Cross multiply
    96,712x = 210,235 × 210,235
  4. Step 4: Simplify right side
    96,712x = 44,198,755,225
  5. Step 5: Solve for x
    x = 44,198,755,225/96,712
  6. Step 6: Final answer
    x = 457,014.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.