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Finding the Third Proportional to 95,282 and 130,772

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Solution

The third proportional to 95,282 and 130,772 is: 179,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,282 : 130,772 = 130,772 : x
  2. Step 2: Convert to fraction form
    95,282/130,772 = 130,772/x
  3. Step 3: Cross multiply
    95,282x = 130,772 × 130,772
  4. Step 4: Simplify right side
    95,282x = 17,101,315,984
  5. Step 5: Solve for x
    x = 17,101,315,984/95,282
  6. Step 6: Final answer
    x = 179,481.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.