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Finding the Third Proportional to 96,282 and 210,060

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Solution

The third proportional to 96,282 and 210,060 is: 458,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,282 : 210,060 = 210,060 : x
  2. Step 2: Convert to fraction form
    96,282/210,060 = 210,060/x
  3. Step 3: Cross multiply
    96,282x = 210,060 × 210,060
  4. Step 4: Simplify right side
    96,282x = 44,125,203,600
  5. Step 5: Solve for x
    x = 44,125,203,600/96,282
  6. Step 6: Final answer
    x = 458,291.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.