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Finding the Third Proportional to 93,166 and 145,283

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Solution

The third proportional to 93,166 and 145,283 is: 226,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,166 : 145,283 = 145,283 : x
  2. Step 2: Convert to fraction form
    93,166/145,283 = 145,283/x
  3. Step 3: Cross multiply
    93,166x = 145,283 × 145,283
  4. Step 4: Simplify right side
    93,166x = 21,107,150,089
  5. Step 5: Solve for x
    x = 21,107,150,089/93,166
  6. Step 6: Final answer
    x = 226,554.22

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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.