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Finding the Third Proportional to 97,898 and 141,336

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Solution

The third proportional to 97,898 and 141,336 is: 204,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,898 : 141,336 = 141,336 : x
  2. Step 2: Convert to fraction form
    97,898/141,336 = 141,336/x
  3. Step 3: Cross multiply
    97,898x = 141,336 × 141,336
  4. Step 4: Simplify right side
    97,898x = 19,975,864,896
  5. Step 5: Solve for x
    x = 19,975,864,896/97,898
  6. Step 6: Final answer
    x = 204,047.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.