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Finding the Third Proportional to 93,425 and 145,058

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Solution

The third proportional to 93,425 and 145,058 is: 225,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,425 : 145,058 = 145,058 : x
  2. Step 2: Convert to fraction form
    93,425/145,058 = 145,058/x
  3. Step 3: Cross multiply
    93,425x = 145,058 × 145,058
  4. Step 4: Simplify right side
    93,425x = 21,041,823,364
  5. Step 5: Solve for x
    x = 21,041,823,364/93,425
  6. Step 6: Final answer
    x = 225,226.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.