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Finding the Third Proportional to 96,721 and 210,045

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Solution

The third proportional to 96,721 and 210,045 is: 456,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,721 : 210,045 = 210,045 : x
  2. Step 2: Convert to fraction form
    96,721/210,045 = 210,045/x
  3. Step 3: Cross multiply
    96,721x = 210,045 × 210,045
  4. Step 4: Simplify right side
    96,721x = 44,118,902,025
  5. Step 5: Solve for x
    x = 44,118,902,025/96,721
  6. Step 6: Final answer
    x = 456,146.05

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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.