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Finding the Third Proportional to 63,420 and 97,512

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Solution

The third proportional to 63,420 and 97,512 is: 149,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,420 : 97,512 = 97,512 : x
  2. Step 2: Convert to fraction form
    63,420/97,512 = 97,512/x
  3. Step 3: Cross multiply
    63,420x = 97,512 × 97,512
  4. Step 4: Simplify right side
    63,420x = 9,508,590,144
  5. Step 5: Solve for x
    x = 9,508,590,144/63,420
  6. Step 6: Final answer
    x = 149,930.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.