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Finding the Third Proportional to 65,988 and 142,392

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Solution

The third proportional to 65,988 and 142,392 is: 307,260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,988 : 142,392 = 142,392 : x
  2. Step 2: Convert to fraction form
    65,988/142,392 = 142,392/x
  3. Step 3: Cross multiply
    65,988x = 142,392 × 142,392
  4. Step 4: Simplify right side
    65,988x = 20,275,481,664
  5. Step 5: Solve for x
    x = 20,275,481,664/65,988
  6. Step 6: Final answer
    x = 307,260.13

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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.