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Finding the Third Proportional to 65,218 and 142,938

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Solution

The third proportional to 65,218 and 142,938 is: 313,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218 : 142,938 = 142,938 : x
  2. Step 2: Convert to fraction form
    65,218/142,938 = 142,938/x
  3. Step 3: Cross multiply
    65,218x = 142,938 × 142,938
  4. Step 4: Simplify right side
    65,218x = 20,431,271,844
  5. Step 5: Solve for x
    x = 20,431,271,844/65,218
  6. Step 6: Final answer
    x = 313,276.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.