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Finding the Third Proportional to 76,676.44 and 116,394.19

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Solution

The third proportional to 76,676.44 and 116,394.19 is: 176,685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,676.44 : 116,394.19 = 116,394.19 : x
  2. Step 2: Convert to fraction form
    76,676.44/116,394.19 = 116,394.19/x
  3. Step 3: Cross multiply
    76,676.44x = 116,394.19 × 116,394.19
  4. Step 4: Simplify right side
    76,676.44x = 13,547,606,883.79
  5. Step 5: Solve for x
    x = 13,547,606,883.79/76,676.44
  6. Step 6: Final answer
    x = 176,685.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.