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Finding the Third Proportional to 93,234 and 139,851

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Solution

The third proportional to 93,234 and 139,851 is: 209,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,234 : 139,851 = 139,851 : x
  2. Step 2: Convert to fraction form
    93,234/139,851 = 139,851/x
  3. Step 3: Cross multiply
    93,234x = 139,851 × 139,851
  4. Step 4: Simplify right side
    93,234x = 19,558,302,201
  5. Step 5: Solve for x
    x = 19,558,302,201/93,234
  6. Step 6: Final answer
    x = 209,776.50

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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.