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Finding the Third Proportional to 62,824 and 97,151

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Solution

The third proportional to 62,824 and 97,151 is: 150,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,824 : 97,151 = 97,151 : x
  2. Step 2: Convert to fraction form
    62,824/97,151 = 97,151/x
  3. Step 3: Cross multiply
    62,824x = 97,151 × 97,151
  4. Step 4: Simplify right side
    62,824x = 9,438,316,801
  5. Step 5: Solve for x
    x = 9,438,316,801/62,824
  6. Step 6: Final answer
    x = 150,234.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.