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Finding the Third Proportional to 93,673 and 140,513

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Solution

The third proportional to 93,673 and 140,513 is: 210,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,673 : 140,513 = 140,513 : x
  2. Step 2: Convert to fraction form
    93,673/140,513 = 140,513/x
  3. Step 3: Cross multiply
    93,673x = 140,513 × 140,513
  4. Step 4: Simplify right side
    93,673x = 19,743,903,169
  5. Step 5: Solve for x
    x = 19,743,903,169/93,673
  6. Step 6: Final answer
    x = 210,774.75

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