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Finding the Third Proportional to 95,089.50 and 132,934

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Solution

The third proportional to 95,089.50 and 132,934 is: 185,840.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,089.50 : 132,934 = 132,934 : x
  2. Step 2: Convert to fraction form
    95,089.50/132,934 = 132,934/x
  3. Step 3: Cross multiply
    95,089.50x = 132,934 × 132,934
  4. Step 4: Simplify right side
    95,089.50x = 17,671,448,356
  5. Step 5: Solve for x
    x = 17,671,448,356/95,089.50
  6. Step 6: Final answer
    x = 185,840.16

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