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Finding the Third Proportional to 65,980 and 146,681

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Solution

The third proportional to 65,980 and 146,681 is: 326,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,980 : 146,681 = 146,681 : x
  2. Step 2: Convert to fraction form
    65,980/146,681 = 146,681/x
  3. Step 3: Cross multiply
    65,980x = 146,681 × 146,681
  4. Step 4: Simplify right side
    65,980x = 21,515,315,761
  5. Step 5: Solve for x
    x = 21,515,315,761/65,980
  6. Step 6: Final answer
    x = 326,088.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.