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Finding the Third Proportional to 101,456 and 161,580

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Solution

The third proportional to 101,456 and 161,580 is: 257,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,456 : 161,580 = 161,580 : x
  2. Step 2: Convert to fraction form
    101,456/161,580 = 161,580/x
  3. Step 3: Cross multiply
    101,456x = 161,580 × 161,580
  4. Step 4: Simplify right side
    101,456x = 26,108,096,400
  5. Step 5: Solve for x
    x = 26,108,096,400/101,456
  6. Step 6: Final answer
    x = 257,334.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.