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Finding the Third Proportional to 103,970 and 161,283

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Solution

The third proportional to 103,970 and 161,283 is: 250,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,970 : 161,283 = 161,283 : x
  2. Step 2: Convert to fraction form
    103,970/161,283 = 161,283/x
  3. Step 3: Cross multiply
    103,970x = 161,283 × 161,283
  4. Step 4: Simplify right side
    103,970x = 26,012,206,089
  5. Step 5: Solve for x
    x = 26,012,206,089/103,970
  6. Step 6: Final answer
    x = 250,189.54

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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.