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Finding the Third Proportional to 93,470 and 140,174

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Solution

The third proportional to 93,470 and 140,174 is: 210,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,470 : 140,174 = 140,174 : x
  2. Step 2: Convert to fraction form
    93,470/140,174 = 140,174/x
  3. Step 3: Cross multiply
    93,470x = 140,174 × 140,174
  4. Step 4: Simplify right side
    93,470x = 19,648,750,276
  5. Step 5: Solve for x
    x = 19,648,750,276/93,470
  6. Step 6: Final answer
    x = 210,214.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.