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Finding the Third Proportional to 96,813 and 142,047

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Solution

The third proportional to 96,813 and 142,047 is: 208,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,813 : 142,047 = 142,047 : x
  2. Step 2: Convert to fraction form
    96,813/142,047 = 142,047/x
  3. Step 3: Cross multiply
    96,813x = 142,047 × 142,047
  4. Step 4: Simplify right side
    96,813x = 20,177,350,209
  5. Step 5: Solve for x
    x = 20,177,350,209/96,813
  6. Step 6: Final answer
    x = 208,415.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.