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Finding the Third Proportional to 93,342 and 143,469

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Solution

The third proportional to 93,342 and 143,469 is: 220,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,342 : 143,469 = 143,469 : x
  2. Step 2: Convert to fraction form
    93,342/143,469 = 143,469/x
  3. Step 3: Cross multiply
    93,342x = 143,469 × 143,469
  4. Step 4: Simplify right side
    93,342x = 20,583,353,961
  5. Step 5: Solve for x
    x = 20,583,353,961/93,342
  6. Step 6: Final answer
    x = 220,515.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.