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Finding the Third Proportional to 42,137 and 97,302

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Solution

The third proportional to 42,137 and 97,302 is: 224,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,137 : 97,302 = 97,302 : x
  2. Step 2: Convert to fraction form
    42,137/97,302 = 97,302/x
  3. Step 3: Cross multiply
    42,137x = 97,302 × 97,302
  4. Step 4: Simplify right side
    42,137x = 9,467,679,204
  5. Step 5: Solve for x
    x = 9,467,679,204/42,137
  6. Step 6: Final answer
    x = 224,688.02

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.