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Finding the Third Proportional to 96,288 and 210,072

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Solution

The third proportional to 96,288 and 210,072 is: 458,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,288 : 210,072 = 210,072 : x
  2. Step 2: Convert to fraction form
    96,288/210,072 = 210,072/x
  3. Step 3: Cross multiply
    96,288x = 210,072 × 210,072
  4. Step 4: Simplify right side
    96,288x = 44,130,245,184
  5. Step 5: Solve for x
    x = 44,130,245,184/96,288
  6. Step 6: Final answer
    x = 458,315.11

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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.