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Finding the Third Proportional to 93,395 and 145,013

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Solution

The third proportional to 93,395 and 145,013 is: 225,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,395 : 145,013 = 145,013 : x
  2. Step 2: Convert to fraction form
    93,395/145,013 = 145,013/x
  3. Step 3: Cross multiply
    93,395x = 145,013 × 145,013
  4. Step 4: Simplify right side
    93,395x = 21,028,770,169
  5. Step 5: Solve for x
    x = 21,028,770,169/93,395
  6. Step 6: Final answer
    x = 225,159.49

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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.