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Finding the Third Proportional to 63,174 and 136,189

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Solution

The third proportional to 63,174 and 136,189 is: 293,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,174 : 136,189 = 136,189 : x
  2. Step 2: Convert to fraction form
    63,174/136,189 = 136,189/x
  3. Step 3: Cross multiply
    63,174x = 136,189 × 136,189
  4. Step 4: Simplify right side
    63,174x = 18,547,443,721
  5. Step 5: Solve for x
    x = 18,547,443,721/63,174
  6. Step 6: Final answer
    x = 293,592.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.