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Finding the Third Proportional to 65,944 and 142,448

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Solution

The third proportional to 65,944 and 142,448 is: 307,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,944 : 142,448 = 142,448 : x
  2. Step 2: Convert to fraction form
    65,944/142,448 = 142,448/x
  3. Step 3: Cross multiply
    65,944x = 142,448 × 142,448
  4. Step 4: Simplify right side
    65,944x = 20,291,432,704
  5. Step 5: Solve for x
    x = 20,291,432,704/65,944
  6. Step 6: Final answer
    x = 307,707.03

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