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Finding the Third Proportional to 63,498 and 97,283

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Solution

The third proportional to 63,498 and 97,283 is: 149,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,498 : 97,283 = 97,283 : x
  2. Step 2: Convert to fraction form
    63,498/97,283 = 97,283/x
  3. Step 3: Cross multiply
    63,498x = 97,283 × 97,283
  4. Step 4: Simplify right side
    63,498x = 9,463,982,089
  5. Step 5: Solve for x
    x = 9,463,982,089/63,498
  6. Step 6: Final answer
    x = 149,043.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.