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Finding the Third Proportional to 93,206 and 148,233

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Solution

The third proportional to 93,206 and 148,233 is: 235,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,206 : 148,233 = 148,233 : x
  2. Step 2: Convert to fraction form
    93,206/148,233 = 148,233/x
  3. Step 3: Cross multiply
    93,206x = 148,233 × 148,233
  4. Step 4: Simplify right side
    93,206x = 21,973,022,289
  5. Step 5: Solve for x
    x = 21,973,022,289/93,206
  6. Step 6: Final answer
    x = 235,746.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.