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Finding the Third Proportional to 95,054 and 132,888

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Solution

The third proportional to 95,054 and 132,888 is: 185,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,054 : 132,888 = 132,888 : x
  2. Step 2: Convert to fraction form
    95,054/132,888 = 132,888/x
  3. Step 3: Cross multiply
    95,054x = 132,888 × 132,888
  4. Step 4: Simplify right side
    95,054x = 17,659,220,544
  5. Step 5: Solve for x
    x = 17,659,220,544/95,054
  6. Step 6: Final answer
    x = 185,780.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.