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Finding the Third Proportional to 97,070 and 213,174

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Solution

The third proportional to 97,070 and 213,174 is: 468,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,070 : 213,174 = 213,174 : x
  2. Step 2: Convert to fraction form
    97,070/213,174 = 213,174/x
  3. Step 3: Cross multiply
    97,070x = 213,174 × 213,174
  4. Step 4: Simplify right side
    97,070x = 45,443,154,276
  5. Step 5: Solve for x
    x = 45,443,154,276/97,070
  6. Step 6: Final answer
    x = 468,148.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.