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Finding the Third Proportional to 93,825 and 138,254

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Solution

The third proportional to 93,825 and 138,254 is: 203,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,825 : 138,254 = 138,254 : x
  2. Step 2: Convert to fraction form
    93,825/138,254 = 138,254/x
  3. Step 3: Cross multiply
    93,825x = 138,254 × 138,254
  4. Step 4: Simplify right side
    93,825x = 19,114,168,516
  5. Step 5: Solve for x
    x = 19,114,168,516/93,825
  6. Step 6: Final answer
    x = 203,721.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.