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Finding the Third Proportional to 93,540 and 142,645

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Solution

The third proportional to 93,540 and 142,645 is: 217,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,540 : 142,645 = 142,645 : x
  2. Step 2: Convert to fraction form
    93,540/142,645 = 142,645/x
  3. Step 3: Cross multiply
    93,540x = 142,645 × 142,645
  4. Step 4: Simplify right side
    93,540x = 20,347,596,025
  5. Step 5: Solve for x
    x = 20,347,596,025/93,540
  6. Step 6: Final answer
    x = 217,528.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.