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Finding the Third Proportional to 96,128 and 207,047

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Solution

The third proportional to 96,128 and 207,047 is: 445,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,128 : 207,047 = 207,047 : x
  2. Step 2: Convert to fraction form
    96,128/207,047 = 207,047/x
  3. Step 3: Cross multiply
    96,128x = 207,047 × 207,047
  4. Step 4: Simplify right side
    96,128x = 42,868,460,209
  5. Step 5: Solve for x
    x = 42,868,460,209/96,128
  6. Step 6: Final answer
    x = 445,951.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.