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Finding the Third Proportional to 93,827.25 and 138,258

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Solution

The third proportional to 93,827.25 and 138,258 is: 203,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,827.25 : 138,258 = 138,258 : x
  2. Step 2: Convert to fraction form
    93,827.25/138,258 = 138,258/x
  3. Step 3: Cross multiply
    93,827.25x = 138,258 × 138,258
  4. Step 4: Simplify right side
    93,827.25x = 19,115,274,564
  5. Step 5: Solve for x
    x = 19,115,274,564/93,827.25
  6. Step 6: Final answer
    x = 203,728.39

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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.