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Finding the Third Proportional to 95,864.63 and 131,495.06

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Solution

The third proportional to 95,864.63 and 131,495.06 is: 180,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,864.63 : 131,495.06 = 131,495.06 : x
  2. Step 2: Convert to fraction form
    95,864.63/131,495.06 = 131,495.06/x
  3. Step 3: Cross multiply
    95,864.63x = 131,495.06 × 131,495.06
  4. Step 4: Simplify right side
    95,864.63x = 17,290,951,461.88
  5. Step 5: Solve for x
    x = 17,290,951,461.88/95,864.63
  6. Step 6: Final answer
    x = 180,368.43

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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.