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Finding the Third Proportional to 93,864 and 146,556

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Solution

The third proportional to 93,864 and 146,556 is: 228,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,864 : 146,556 = 146,556 : x
  2. Step 2: Convert to fraction form
    93,864/146,556 = 146,556/x
  3. Step 3: Cross multiply
    93,864x = 146,556 × 146,556
  4. Step 4: Simplify right side
    93,864x = 21,478,661,136
  5. Step 5: Solve for x
    x = 21,478,661,136/93,864
  6. Step 6: Final answer
    x = 228,827.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.