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Finding the Third Proportional to 77,685 and 113,958

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Solution

The third proportional to 77,685 and 113,958 is: 167,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,685 : 113,958 = 113,958 : x
  2. Step 2: Convert to fraction form
    77,685/113,958 = 113,958/x
  3. Step 3: Cross multiply
    77,685x = 113,958 × 113,958
  4. Step 4: Simplify right side
    77,685x = 12,986,425,764
  5. Step 5: Solve for x
    x = 12,986,425,764/77,685
  6. Step 6: Final answer
    x = 167,167.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.