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Finding the Third Proportional to 64,824 and 97,302

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Solution

The third proportional to 64,824 and 97,302 is: 146,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,824 : 97,302 = 97,302 : x
  2. Step 2: Convert to fraction form
    64,824/97,302 = 97,302/x
  3. Step 3: Cross multiply
    64,824x = 97,302 × 97,302
  4. Step 4: Simplify right side
    64,824x = 9,467,679,204
  5. Step 5: Solve for x
    x = 9,467,679,204/64,824
  6. Step 6: Final answer
    x = 146,052.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.