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Finding the Third Proportional to 66,980 and 145,516

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Solution

The third proportional to 66,980 and 145,516 is: 316,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,980 : 145,516 = 145,516 : x
  2. Step 2: Convert to fraction form
    66,980/145,516 = 145,516/x
  3. Step 3: Cross multiply
    66,980x = 145,516 × 145,516
  4. Step 4: Simplify right side
    66,980x = 21,174,906,256
  5. Step 5: Solve for x
    x = 21,174,906,256/66,980
  6. Step 6: Final answer
    x = 316,137.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.