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Finding the Third Proportional to 82,044 and 193,174

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Solution

The third proportional to 82,044 and 193,174 is: 454,831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,044 : 193,174 = 193,174 : x
  2. Step 2: Convert to fraction form
    82,044/193,174 = 193,174/x
  3. Step 3: Cross multiply
    82,044x = 193,174 × 193,174
  4. Step 4: Simplify right side
    82,044x = 37,316,194,276
  5. Step 5: Solve for x
    x = 37,316,194,276/82,044
  6. Step 6: Final answer
    x = 454,831.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.