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Finding the Third Proportional to 65,970 and 138,420

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Solution

The third proportional to 65,970 and 138,420 is: 290,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,970 : 138,420 = 138,420 : x
  2. Step 2: Convert to fraction form
    65,970/138,420 = 138,420/x
  3. Step 3: Cross multiply
    65,970x = 138,420 × 138,420
  4. Step 4: Simplify right side
    65,970x = 19,160,096,400
  5. Step 5: Solve for x
    x = 19,160,096,400/65,970
  6. Step 6: Final answer
    x = 290,436.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.