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Finding the Third Proportional to 93,411 and 140,212

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Solution

The third proportional to 93,411 and 140,212 is: 210,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,411 : 140,212 = 140,212 : x
  2. Step 2: Convert to fraction form
    93,411/140,212 = 140,212/x
  3. Step 3: Cross multiply
    93,411x = 140,212 × 140,212
  4. Step 4: Simplify right side
    93,411x = 19,659,404,944
  5. Step 5: Solve for x
    x = 19,659,404,944/93,411
  6. Step 6: Final answer
    x = 210,461.35

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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.