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Finding the Third Proportional to 65,791 and 142,089

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Solution

The third proportional to 65,791 and 142,089 is: 306,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,791 : 142,089 = 142,089 : x
  2. Step 2: Convert to fraction form
    65,791/142,089 = 142,089/x
  3. Step 3: Cross multiply
    65,791x = 142,089 × 142,089
  4. Step 4: Simplify right side
    65,791x = 20,189,283,921
  5. Step 5: Solve for x
    x = 20,189,283,921/65,791
  6. Step 6: Final answer
    x = 306,870.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.